Buldygin, Valeriĭ V.; Indlekofer, Karl-Heinz; Klesov, Oleg I.; Steinebach, Josef G. Pseudo-regularly varying functions and generalized renewal processes. (English) Zbl 1422.60003 Probability Theory and Stochastic Modelling 91. Cham: Springer (ISBN 978-3-319-99536-6/hbk; 978-3-319-99537-3/ebook). xxii, 482 p. (2018). Reviewer: René L. Schilling (Dresden) MSC: 60-02 60K05 26A12 60F15 60H10 60E07 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Pseudo-regularly varying functions and generalized renewal processes. Cham: Springer (2018; Zbl 1422.60003) Full Text: DOI
Buldygin, Valerii; Dorogovtsev, Andrey; Portenko, Mykola; Kadyrova, Irina Anatolii Skorokhod (10 September 1930 – 3 January 2011). (English) Zbl 1315.01034 Eur. Math. Soc. Newsl. 94, 24-31 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Buldygin} et al., Eur. Math. Soc. Newsl. 94, 24--31 (2014; Zbl 1315.01034)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes. (English. Ukrainian original) Zbl 1301.26006 Theory Probab. Math. Stat. 87, 1-12 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 1-11 (2012). MSC: 26A12 26A48 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Probab. Math. Stat. 87, 1--12 (2013; Zbl 1301.26006); translation from Teor. Jmovirn. Mat. Stat. 87, 1--11 (2012) Full Text: DOI
Buldygin, V. V.; Moskvichova, K. K. The sub-Gaussian norm of a binary random variable. (English. Ukrainian original) Zbl 1300.60063 Theory Probab. Math. Stat. 86, 33-49 (2013); translation from Teor. Jmovirn. Mat. Stat. 86, 28-42 (2012). MSC: 60G50 65B10 60G15 40A05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{K. K. Moskvichova}, Theory Probab. Math. Stat. 86, 33--49 (2013; Zbl 1300.60063); translation from Teor. Jmovirn. Mat. Stat. 86, 28--42 (2012) Full Text: DOI
Buldygin, V. V.; Pavlenkov, V. V. Karamata theorem for regularly log-periodic functions. (English. Ukrainian original) Zbl 1278.26002 Ukr. Math. J. 64, No. 11, 1635-1657 (2013); translation from Ukr. Mat. Zh. 64, No. 11, 1443-1463 (2012). Reviewer: Edward Omey (Brussels) MSC: 26A12 44A20 45M05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Pavlenkov}, Ukr. Math. J. 64, No. 11, 1635--1657 (2013; Zbl 1278.26002); translation from Ukr. Mat. Zh. 64, No. 11, 1443--1463 (2012) Full Text: DOI
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Equivalent monotone versions of PRV functions. (English) Zbl 1264.26002 J. Math. Anal. Appl. 401, No. 2, 526-533 (2013). MSC: 26A12 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., J. Math. Anal. Appl. 401, No. 2, 526--533 (2013; Zbl 1264.26002) Full Text: DOI
Buldygin, V. V.; Indlekofer, K.-H.; Klesov, O. I.; Steinebach, J. G. Pseudo-regularly varying functions and generalized renewal processes. (Псевдорегулярні функції та узагальнені процеси відновлення.) (Ukrainian) Zbl 1318.60004 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka. Kiev: TBiMC (ISBN 978-966-8725-06-9/hbk). 440 p. (2012). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60-02 60F99 60E15 60G42 60H10 60G50 60G55 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Псевдорегулярні функції та узагальнені процеси відновлення (Ukrainian). Kiev: TBiMC (2012; Zbl 1318.60004)
Buldygin, Valerii V.; Runovska, Marina K. Almost sure convergence of the series of Gaussian Markov sequences. (English) Zbl 1315.60047 Commun. Stat., Theory Methods 40, No. 19-20, 3407-3424 (2011). MSC: 60G50 40A05 60B12 60F15 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{M. K. Runovska}, Commun. Stat., Theory Methods 40, No. 19--20, 3407--3424 (2011; Zbl 1315.60047) Full Text: DOI
Buldygin, V. V.; Tymoshenko, O. A. On the exact order of growth of solutions of stochastic differential equations with time-dependent coefficients. (English) Zbl 1249.60085 Theory Stoch. Process. 16, No. 2, 12-22 (2010). MSC: 60G50 40C05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{O. A. Tymoshenko}, Theory Stoch. Process. 16, No. 2, 12--22 (2010; Zbl 1249.60085)
Boĭko, R. V.; Buldigin, V. V.; Donchenko, V. S. A. V. Skorokhod (on the occasion of his eightieth birthday). (Ukrainian) Zbl 1232.01018 Teor. Jmovirn. Mat. Stat. 82, 5-8 (2010). MSC: 01A70 PDFBibTeX XMLCite \textit{R. V. Boĭko} et al., Teor. Ĭmovirn. Mat. Stat. 82, 5--8 (2010; Zbl 1232.01018)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. On the convergence to infinity of positive increasing functions. (English) Zbl 1240.26002 Ukr. Mat. Zh. 62, No. 10, 1299-1308 (2010) and in Ukr. Math. J. 62, No. 10, 1507-1518 (2010). MSC: 26A12 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 62, No. 10, 1299--1308 (2010; Zbl 1240.26002) Full Text: DOI
Buldygin, Valerii V.; Runovska, Marina K. On the convergence of series of autoregressive sequences in Banach spaces. (English) Zbl 1224.60094 Theory Stoch. Process. 16, No. 1, 29-38 (2010). MSC: 60G50 60G15 40C05 60G30 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{M. K. Runovska}, Theory Stoch. Process. 16, No. 1, 29--38 (2010; Zbl 1224.60094)
Buldygin, V. V.; Pavlenkov, V. V. A generalization of Karamata’s theorem on the asymptotic behavior of integrals. (Ukrainian, English) Zbl 1224.26007 Teor. Jmovirn. Mat. Stat. 81, 13-24 (2009); translation in Theory Probab. Math. Stat. 81, 15-26 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 26A12 26A48 34C41 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Pavlenkov}, Teor. Ĭmovirn. Mat. Stat. 81, 13--24 (2009; Zbl 1224.26007); translation in Theory Probab. Math. Stat. 81, 15--26 (2010) Full Text: DOI
Buldygin, V. V.; Pechuk, E. D. Inequalities for the distributions of functionals of sub-Gaussian vectors. (Ukrainian, English) Zbl 1224.60112 Teor. Jmovirn. Mat. Stat. 80, 23-33 (2009); translation in Theory Probab. Math. Stat. 80, 25-36 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G60 60G17 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{E. D. Pechuk}, Teor. Ĭmovirn. Mat. Stat. 80, 23--33 (2009; Zbl 1224.60112); translation in Theory Probab. Math. Stat. 80, 25--36 (2010) Full Text: DOI
Buldygin, V. V.; Blazhievska, I. P. On asymptotic behaviour of cross-correlogram estimators of response functions in linear Volterra systems. (English) Zbl 1224.62038 Theory Stoch. Process. 15, No. 2, 84-98 (2009). MSC: 62M09 62F12 62E20 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{I. P. Blazhievska}, Theory Stoch. Process. 15, No. 2, 84--98 (2009; Zbl 1224.62038)
Buldygin, Valerii V.; Runovska, Marina K. On the convergence of series of autoregressive sequences. (English) Zbl 1224.60093 Theory Stoch. Process. 15, No. 1, 7-14 (2009). MSC: 60G50 60G15 40C05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{M. K. Runovska}, Theory Stoch. Process. 15, No. 1, 7--14 (2009; Zbl 1224.60093)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G.; Tymoshenko, O. A. On the \(\varphi\)-asymptotic behaviour of solutions of stochastic differential equations. (English) Zbl 1199.60203 Theory Stoch. Process. 14(30), No. 1, 11-29 (2008). MSC: 60H10 34D05 60F15 60G17 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 14(30), No. 1, 11--29 (2008; Zbl 1199.60203)
Buldygin, V. V.; Indlekofer, K.-H.; Klesov, O. I.; Steinebach, J. Asymptotics of renewal processes: Some recent developments. (English) Zbl 1164.60326 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 28, 107-139 (2008). MSC: 60F05 60F15 60E07 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 28, 107--139 (2008; Zbl 1164.60326)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. On some properties of asymptotic quasi-inverse functions. (Ukrainian, English) Zbl 1199.26009 Teor. Jmovirn. Mat. Stat. 77, 13-27 (2007); translation in Theory Probab. Math. Stat. 77, 15-30 (2008). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 26A12 60F99 26A48 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Teor. Ĭmovirn. Mat. Stat. 77, 13--27 (2007; Zbl 1199.26009); translation in Theory Probab. Math. Stat. 77, 15--30 (2008) Full Text: Link
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Precise asymptotics over a small parameter for a series of large deviation probabilities. (English) Zbl 1152.60018 Theory Stoch. Process. 13, No. 29, Part 1-2, 44-56 (2007). Reviewer: A. D. Borisenko (Kyïv) MSC: 60E07 60F05 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 13(29), No. 1--2, 44--56 (2007; Zbl 1152.60018)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. On some extensions of Karamata’s theory and their applications. (English) Zbl 1199.26001 Publ. Inst. Math., Nouv. Sér. 80(94), 59-96 (2006). Reviewer: Slavko Simić (Beograd) MSC: 26-02 60-02 26A12 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Publ. Inst. Math., Nouv. Sér. 80(94), 59--96 (2006; Zbl 1199.26001) Full Text: DOI EuDML
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. PRV property and the asymptotic behaviour of solutions of stochastic differential equations. (English) Zbl 1142.60362 Theory Stoch. Process. 11, No. 27, Part 3-4, 42-57 (2005). MSC: 60H10 34D05 60F15 60G17 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 11(27), No. 3--4, 42--57 (2005; Zbl 1142.60362)
Buldygin, V. V.; Doroshenko, A. V.; Svirskii, T. V. On an expansion of martingales. (English) Zbl 1142.60339 Theory Stoch. Process. 11, No. 27, Part 1-2, 3-5 (2005). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60G42 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 11(27), No. 1--2, 3--5 (2005; Zbl 1142.60339)
Buldygin, V. V.; Koval’, V. O. Prokhorov-Loeve strong law of large numbers for martingales normalized by operators. (Ukrainian, English) Zbl 1119.60022 Teor. Jmovirn. Mat. Stat. 73, 27-42 (2005); translation in Theory Probab. Math. Stat. 73, 31-46 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60F15 60G42 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. O. Koval'}, Teor. Ĭmovirn. Mat. Stat. 73, 27--42 (2005; Zbl 1119.60022); translation in Theory Probab. Math. Stat. 73, 31--46 (2006) Full Text: Link
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. PRV property of functions and asymptotic behaviour of solutions to stochastic differential equations. (Ukrainian, English) Zbl 1123.60044 Teor. Jmovirn. Mat. Stat. 72, 10-23 (2005); translation in Theory Probab. Math. Stat. 72, 11-25 (2006). Reviewer: R. E. Maiboroda (Kyïv) MSC: 60H10 34D05 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Teor. Ĭmovirn. Mat. Stat. 72, 10--23 (2005; Zbl 1123.60044); translation in Theory Probab. Math. Stat. 72, 11--25 (2006) Full Text: Link
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. On some features of asymptotically quasi-inverse functions and their applications. I. (Ukrainian, English) Zbl 1103.26001 Teor. Jmovirn. Mat. Stat. 70, 9-25 (2004); translation in Theory Probab. Math. Stat. 70, 11-28 (2005). Reviewer: R. E. Maiboroda (Kyïv) MSC: 26A12 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Teor. Ĭmovirn. Mat. Stat. 70, 9--25 (2005; Zbl 1103.26001); translation in Theory Probab. Math. Stat. 70, 11--28 (2005)
Buldygin, Valery; Utzet, Frederic; Zaiats, Vladimir Asymptotic normality of cross-correlogram estimates of the response function. (English) Zbl 1139.62323 Stat. Inference Stoch. Process. 7, No. 1, 1-34 (2004). MSC: 62M09 62E20 62M99 PDFBibTeX XMLCite \textit{V. Buldygin} et al., Stat. Inference Stoch. Process. 7, No. 1, 1--34 (2004; Zbl 1139.62323) Full Text: DOI
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Some properties of asymptotic quasi-inverse functions and their applications. II. (Ukrainian, English) Zbl 1101.26003 Teor. Jmovirn. Mat. Stat. 71, 33-48 (2004); translation in Theory Probab. Math. Stat. 71, 37-52 (2005). Reviewer: A. D. Borisenko (Kyïv) MSC: 26A12 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Teor. Ĭmovirn. Mat. Stat. 71, 33--48 (2004; Zbl 1101.26003); translation in Theory Probab. Math. Stat. 71, 37--52 (2005) Full Text: Link
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. On factorization representations for Avakumović-Karamata functions with nondegenerate groups of regular points. (English) Zbl 1062.26002 Anal. Math. 30, No. 3, 161-192 (2004). MSC: 26A12 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Anal. Math. 30, No. 3, 161--192 (2004; Zbl 1062.26002) Full Text: DOI
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. On asymptotic quasi-inverse functions. (English) Zbl 1068.26002 Theory Stoch. Process. 9(25), No. 1-2, 30-51 (2003). MSC: 26A12 60H10 35R60 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 9(25), No. 1--2, 30--51 (2003; Zbl 1068.26002)
Buldygin, V. V. On the exponential integrability of quasi-additive functionals of Gaussian vectors. (Ukrainian, English) Zbl 1050.60005 Teor. Jmovirn. Mat. Stat. 68, 18-23 (2003); translation in Theory Probab. Math. Stat. 68, 19-26 (2004). Reviewer: A. D. Borisenko (Kyïv) MSC: 60B11 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin}, Teor. Ĭmovirn. Mat. Stat. 68, 18--23 (2003; Zbl 1050.60005); translation in Theory Probab. Math. Stat. 68, 19--26 (2004)
Buldygin, V. V. Thank you dear teacher. (Ukrainian) Zbl 1224.60003 Sviti Mat. 8, No. 2, 8-11 (2002). Reviewer: A. Ya. Olenko (Kyïv) MSC: 60-03 01A70 01A65 60G60 PDFBibTeX XMLCite \textit{V. V. Buldygin}, Sviti Mat. 8, No. 2, 8--11 (2002; Zbl 1224.60003)
Buldygin, Valey; Utzet, Frederic; Zaiats, Vladimir Integrals involving cyclic products of kernels and asymptotic normality of cross-correlogram estimates of the response function. (English) Zbl 1099.62528 Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 9. Probability theory and mathematical statistics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2616-0). 13-37 (2002). MSC: 62M09 62G20 62M99 PDFBibTeX XMLCite \textit{V. Buldygin} et al., in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 9. Teoriya jmovirnostej i matematychna statystyka. Kyïv: Instytut Matematyky NAN Ukraïny. 13--37 (2002; Zbl 1099.62528)
Buldygin, V.; Utzet, F.; Zaiats, V. A note on the application of integrals involving cyclic products of kernels. (English) Zbl 1040.62076 Qüestiió (2) 26, No. 1-2, 3-14 (2002). MSC: 62M10 46N30 62M09 PDFBibTeX XMLCite \textit{V. Buldygin} et al., Qüestiió (2) 26, No. 1--2, 3--14 (2002; Zbl 1040.62076) Full Text: EuDML
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Strong limit theorems for generalized renewal processes and properties of normalizations. (English) Zbl 1026.60028 Theory Stoch. Process. 8(24), No. 1-2, 47-66 (2002). Reviewer: A.D.Borisenko (Kyïv) MSC: 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 8(24), No. 1--2, 47--66 (2002; Zbl 1026.60028)
Buldygin, V. V.; Il’enko, V. B. On the heat equation with random initial conditions. (English. Ukrainian original) Zbl 1027.60016 Theory Probab. Math. Stat. 66, 27-35 (2003); translation from Teor. Jmovirn. Mat. Stat. 66, 26-33 (2002). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60F05 60G10 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. B. Il'enko}, Teor. Ĭmovirn. Mat. Stat. 66, 26--33 (2002; Zbl 1027.60016); translation from Teor. Jmovirn. Mat. Stat. 66, 26--33 (2002)
Mitropol’skyj, Yu. O.; Samoilenko, A. M.; Skorokhod, A. V.; Korolyuk, V. S.; Perestyuk, M. O.; Portenko, M. I.; Kozachenko, Yu. V.; Buldygin, V. V.; Sheremeta, M. M. Mykhajlo Josypovych Yadrenko (on his 70-th birthday). (English. Ukrainian original) Zbl 1029.01525 Ukr. Math. J. 54, No. 4, 533-535 (2002); translation from Ukr. Mat. Zh. 54, No. 4, 435-438 (2002). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. O. Mitropol'skyj} et al., Ukr. Mat. Zh. 54, No. 4, 435--438 (2002; Zbl 1029.01525); translation from Ukr. Mat. Zh. 54, No. 4, 435--438 (2002)
Buldygin, V. V.; Klesov, O. I.; Steinebach, J. G. Properties of a subclass of Avakumović functions and their generalized inverses. (English) Zbl 1006.60087 Ukr. Math. J. 54, No. 2, 179-206 (2002) and Ukr. Mat. Zh. 54, No. 2, 149-169 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60K05 26A12 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 54, No. 2, 149--169 (2002; Zbl 1006.60087) Full Text: DOI
Buldygin, V.; Utzet, F.; Zaiats, V. Cumulants of sample correlograms of a stationary Gaussian time series. (English) Zbl 1005.62077 Aivazian, S. (ed.) et al., Computer data analysis and modeling: Robustness and computer intensive methods (CDAM 2001). Proceedings of the 6th international conference, Minsk, Belarus, September 10-14, 2001. Vol. 1. Minsk: Belarusian State Univ., National Research Center for Applied Problems of Mathematics and Informatics; Belarusian Republican Foundation for Fundamental Research; Belarusian Statistical Association; 985-445-490-8 (vol. 1)). 85-90 (2001). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62M10 PDFBibTeX XMLCite \textit{V. Buldygin} et al., in: Computer data analysis and modeling: Robustness and computer intensive methods (CDAM 2001). Proceedings of the 6th international conference, Minsk, Belarus, September 10--14, 2001. Vol. 1. Minsk: Belarusian State Univ., National Research Center for Applied Problems of Mathematics and Informatics; Belarusian Republican Foundation for Fundamental Research; Belarusian Statistical Association. 85--90 (2001; Zbl 1005.62077)
Buldygin, V. V.; Koval, V. A. Convergence to zero and boundedness of operator-normed sums of random vectors with application to autoregression processes. (English) Zbl 1013.60020 Georgian Math. J. 8, No. 2, 221-230 (2001). Reviewer: Josef Steinebach (Marburg) MSC: 60F15 60G35 60G42 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. A. Koval}, Georgian Math. J. 8, No. 2, 221--230 (2001; Zbl 1013.60020) Full Text: EuDML
Buldygin, V. V.; Il’jenko, A. B. On a functional limit theorem for time series constructed from shot noise processes. (English. Ukrainian original) Zbl 0990.60028 Theory Probab. Math. Stat. 63, 21-25 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 21-25 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 60F17 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{A. B. Il'jenko}, Teor. Ĭmovirn. Mat. Stat. 63, 21--25 (2000; Zbl 0990.60028); translation from Teor. Jmovirn. Mat. Stat. 63, 21--25 (2000)
Buldygin, V. V.; Koval’, V. O. On the asymptotic properties of solutions of linear stochastic differential equations in \(R^{d}\). (English. Ukrainian original) Zbl 0971.60061 Ukr. Math. J. 52, No. 9, 1334-1345 (2000); translation from Ukr. Mat. Zh. 52, No. 9, 1166-1175 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60H10 60J25 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. O. Koval'}, Ukr. Mat. Zh. 52, No. 9, 1166--1175 (2000; Zbl 0971.60061); translation from Ukr. Mat. Zh. 52, No. 9, 1166--1175 (2000) Full Text: DOI
Buldygin, V. V.; Koval’, V. A. Strong law of large numbers with operator normalizations for martingales and sums of orthogonal random vectors. (English. Russian original) Zbl 0973.60045 Ukr. Math. J. 52, No. 8, 1195-1214 (2000); translation from Ukr. Mat. Zh. 52, No. 8, 1045-1061 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G48 60F15 62J05 60G42 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. A. Koval'}, Ukr. Mat. Zh. 52, No. 8, 1045--1061 (2000; Zbl 0973.60045); translation from Ukr. Mat. Zh. 52, No. 8, 1045--1061 (2000) Full Text: DOI
Buldygin, V. V.; Demyanenko, O. O. On asymptotic properties of the empirical correlation matrix of homogeneous vector-valued Gaussian fields. (English. Russian original) Zbl 0973.60038 Ukr. Math. J. 52, No. 3, 346-367 (2000); translation from Ukr. Mat. Zh. 52, No. 3, 300-318 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G15 62G20 60G60 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{O. O. Demyanenko}, Ukr. Mat. Zh. 52, No. 3, 300--318 (2000; Zbl 0973.60038); translation from Ukr. Mat. Zh. 52, No. 3, 300--318 (2000) Full Text: DOI
Buldygin, V. V.; Utzet, F.; Zajats, V. V. On third order input-output sample moment functions in bilinear Volterra systems. (English) Zbl 0958.60017 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 4, 38-42 (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60F05 60G15 62M09 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 4, 38--42 (2000; Zbl 0958.60017)
Buldygin, V. V.; Zajats, V. V. A central limit theorem for cross-correlograms of a Gaussian process in the series scheme. (English) Zbl 0958.60015 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 1, 28-31 (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60F05 62M09 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zajats}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2000, No. 1, 28--31 (2000; Zbl 0958.60015)
Buldygin, V. V.; Kharazishvili, A. B. Geometric aspects of probability theory and mathematical statistics. (English) Zbl 0968.60002 Mathematics and its Applications (Dordrecht). 514. Dordrecht: Kluwer Academic Publishers. x, 303 p. Dfl 235.00; $ 125.00; £78.00 (2000). Reviewer: Werner Linde (Jena) MSC: 60-01 52-01 62M20 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{A. B. Kharazishvili}, Geometric aspects of probability theory and mathematical statistics. Dordrecht: Kluwer Academic Publishers (2000; Zbl 0968.60002)
Buldygin, V. V.; Kozachenko, Yu. V. Metric characterization of random variables and random processes. Transl. from the Russian by V. Zaiats. (English) Zbl 0998.60503 Translations of Mathematical Monographs. 188. Providence, RI: AMS, American Mathematical Society. xii, 257 p. (2000). MSC: 60G07 60-01 60G17 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{Yu. V. Kozachenko}, Metric characterization of random variables and random processes. Transl. from the Russian by V. Zaiats. Providence, RI: AMS, American Mathematical Society (2000; Zbl 0998.60503)
Buldygin, Valerii V.; Utzet, Frederic; Zajats, Volodymyr V. On statistical estimation of the response function of a continuous bilinear Volterra system after discrete observations. (English) Zbl 0995.62078 Theory Stoch. Process. 5(21), No. 3-4, 29-39 (1999). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 62M09 62G05 62M15 60F05 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 5(21), No. 3--4, 29--39 (1999; Zbl 0995.62078)
Buldygin, V. V.; Koval’, V. O. The strong law of large numbers for sums of orthogonal random vectors normed by operators and its applications. (Ukrainian. English summary) Zbl 0960.60028 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 10, 11-13 (1999). MSC: 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. O. Koval'}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 10, 11--13 (1999; Zbl 0960.60028)
Buldygin, V. V.; Koval’, V. O. The law of large numbers for vector-valued martingales with matrix norming and its applications. (Ukrainian. English summary) Zbl 0960.60020 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 9, 7-11 (1999). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60F15 60G48 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. O. Koval'}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 9, 7--11 (1999; Zbl 0960.60020)
Buldygin, V. V.; Zajats, V. V. Some properties of integrals with circularly hooked arguments. (English) Zbl 0960.60037 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 4, 16-20 (1999). MSC: 60F99 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zajats}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 4, 16--20 (1999; Zbl 0960.60037)
Buldygin, V. V.; Severnyuk, D. M. On the exponential integrability of semiadditive functionals on Gaussian vectors. (English. Ukrainian original) Zbl 0957.60005 Theory Probab. Math. Stat. 60, 13-18 (2000); translation from Teor. Jmorvirn. Mat. Stat. 60, 11-16 (1999). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60B11 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{D. M. Severnyuk}, Teor. Ĭmovirn. Mat. Stat. 60, 11--16 (1999; Zbl 0957.60005); translation from Teor. Jmorvirn. Mat. Stat. 60, 11--16 (1999)
Buldygin, Valery V.; Zajats, Vladimir V. A global asymptotic normality of the sample correlogram of a stationary Gaussian process. (English) Zbl 0952.60044 Random Oper. Stoch. Equ. 7, No. 2, 109-132 (1999). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zajats}, Random Oper. Stoch. Equ. 7, No. 2, 109--132 (1999; Zbl 0952.60044) Full Text: DOI
Buldygin, Valerij; Kurotschka, Viktor On cross-correlogram estimators of the response function in continuous linear systems from discrete observations. (English) Zbl 0934.62096 Random Oper. Stoch. Equ. 7, No. 1, 71-90 (1999). Reviewer: A.V.Swishchuk (Kyïv) MSC: 62M15 62G20 60G15 62E20 PDFBibTeX XMLCite \textit{V. Buldygin} and \textit{V. Kurotschka}, Random Oper. Stoch. Equ. 7, No. 1, 71--90 (1999; Zbl 0934.62096) Full Text: DOI
Buldygin, V. V.; Mel’nyk, V. G.; Shportyuk, V. G. On the Lévy-Baxter theorems for shot-noise fields. III. (English. Ukrainian original) Zbl 0948.60038 Ukr. Math. J. 51, No. 2, 281-285 (1999); translation from Ukr. Mat. Zh. 51, No. 2, 251-254 (1999). Reviewer: V.A.Gasanenko (Kyïv) MSC: 60G60 60J57 60H05 60G30 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 51, No. 2, 251--254 (1999; Zbl 0948.60038); translation from Ukr. Mat. Zh. 51, No. 2, 251--254 (1999) Full Text: DOI
Buldygin, V. V.; Mel’nyk, V. G.; Shportyuk, V. G. On the Lévy-Baxter theorems for shot-noise fields. II. (English. Ukrainian original) Zbl 0948.60036 Ukr. Math. J. 51, No. 1, 11-33 (1999); translation from Ukr. Mat. Zh. 51, No. 1, 12-31 (1999). Reviewer: V.A.Gasanenko (Kyïv) MSC: 60G60 60J57 60H05 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 51, No. 1, 12--31 (1999; Zbl 0948.60036); translation from Ukr. Mat. Zh. 51, No. 1, 12--31 (1999)
Buldygin, V. V.; Il’jenko, A. B. Asymptotic properties of Schottky time series. (English. Ukrainian original) Zbl 0960.60036 Theory Probab. Math. Stat. 59, 21-34 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 20-33 (1998). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F25 60F05 60F10 60G10 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{A. B. Il'jenko}, Teor. Ĭmovirn. Mat. Stat. 59, 20--33 (1998; Zbl 0960.60036); translation from Teor. Jmorvirn. Mat. Stat. 59, 20--33 (1998)
Buldygin, Valerij V.; Koval’, Valerij A. On the strong law of large numbers for martingales with operator norm. (English) Zbl 0943.60021 Theory Stoch. Process. 4(20), No. 1-2, 82-88 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60F15 60G42 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. A. Koval'}, Theory Stoch. Process. 4(20), No. 1--2, 82--88 (1998; Zbl 0943.60021)
Buldygin, V. V.; Mel’nyk, V. G.; Shportyuk, V. G. On the Lévy-Baxter theorems for shot-noise fields. I. (English. Ukrainian original) Zbl 0948.60034 Ukr. Math. J. 50, No. 11, 1671-1685 (1998); translation from Ukr. Mat. Zh. 50, No. 11, 1463-1476 (1998). Reviewer: V.A.Gasanenko (Kyïv) MSC: 60G60 60J57 60H05 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 50, No. 11, 1463--1476 (1998; Zbl 0948.60034); translation from Ukr. Mat. Zh. 50, No. 11, 1463--1476 (1998) Full Text: DOI
Buldygin, V. V.; Kozachenko, Yu. V. Metric characteristics of random variables and processes. (Metricheskie kharakteristiki sluchajnykh velichin i protsessov.) (Russian) Zbl 0933.60031 Teoriya Veroyatnostej i Matematicheskaya Statistika/Probability Theory and Mathematical Statistics. 3. Kiev: TViMS. 290 p. (1998). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60G07 60-01 60G17 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{Yu. V. Kozachenko}, Metricheskie kharakteristiki sluchajnykh velichin i protsessov (Russian). Kiev: TViMS (1998; Zbl 0933.60031)
Buldygin, V. V. Gaussian vectors. (Russian) Zbl 0943.60037 Dorogovtsev, A. Ya. (ed.), Mathematics today. 1997. No. 11. Kyïv: TViMS, 53-70 (1997). Reviewer: N.A.Denis’evskij (Kyïv) MSC: 60G15 60B11 PDFBibTeX XMLCite \textit{V. V. Buldygin}, in: Matematika segodnya. 1997. Vyp. 11. Kyïv: TViMS. 53--70 (1997; Zbl 0943.60037)
Buldygin, V. V.; Dem’yanenko, O. O. Asymptotic properties of a correlation matrix of Gaussian vector fields. (Russian) Zbl 0928.62085 Dopov. Akad. Nauk Ukr. 1997, No. 1, 45-49 (1997). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62M40 62E20 62F12 60G60 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{O. O. Dem'yanenko}, Dopov. Akad. Nauk Ukr. 1997, No. 1, 45--49 (1997; Zbl 0928.62085)
Buldygin, Valerii V.; Li, Fu On sample cross-correlogram estimators of response functions of linear systems. (English) Zbl 0927.62095 Theory Stoch. Process. 3(19), No. 1-2, 35-54 (1997). Reviewer: R.E.Maiboroda (Kyïv) MSC: 62M15 60F05 62M99 60F17 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{F. Li}, Theory Stoch. Process. 3(19), No. 1--2, 35--54 (1997; Zbl 0927.62095)
Buldygin, V. V.; Solntsev, S. A. On weak and strong almost sure convergence of series of independent random elements in Banach spaces. (English. Russian original) Zbl 0926.60023 Theory Probab. Math. Stat. 56, 61-66 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 61-66 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F05 60B12 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Teor. Ĭmovirn. Mat. Stat. 56, 61--66 (1997; Zbl 0926.60023); translation from Teor. Jmovirn. Mat. Stat. 56, 61--66 (1997)
Buldygin, V.; Solntsev, S. Asymptotic behaviour of linearly transformed sums of random variables. Transl. from the Russian by V. Zaiats. Compl. rev., upd. and expanded ed. (English) Zbl 0906.60002 Mathematics and its Applications (Dordrecht). 416. Dordrecht: Kluwer Academic Publishers. xii, 500 p. (1997). Reviewer: V.M.Kruglov (Moskva) MSC: 60-02 PDFBibTeX XMLCite \textit{V. Buldygin} and \textit{S. Solntsev}, Asymptotic behaviour of linearly transformed sums of random variables. Transl. from the Russian by V. Zaiats. Compl. rev., upd. and expanded ed. Dordrecht: Kluwer Academic Publishers (1997; Zbl 0906.60002)
Buldygin, V. V.; Fu, Lee. On asymptotic normality of estimates of impulse response function for linear systems. I. (English. Russian original) Zbl 0927.62096 Theory Probab. Math. Stat. 54, 17-24 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 16-24 (1996). Reviewer: A.Ya.Olenko (Kyïv) MSC: 62M20 62G20 60G35 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{Lee. Fu}, Teor. Ĭmovirn. Mat. Stat. 54, 17--24 (1996; Zbl 0927.62096); translation from Teor. Jmovirn. Mat. Stat. 54, 16--24 (1996)
Buldygin, V. V.; Fu, Li On asymptotic normality of estimators of unit impulse responses of linear systems. II. (English. Russian original) Zbl 0927.62097 Theory Probab. Math. Stat. 55, 29-36 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 30-37 (1996). Reviewer: A.Ya.Olenko (Kyïv) MSC: 62M20 62G20 60G35 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{L. Fu}, Teor. Ĭmovirn. Mat. Stat. 55, 30--37 (1996; Zbl 0927.62097); translation from Teor. Jmovirn. Mat. Stat. 55, 30--37 (1996)
Buldygin, V. V. Continuity of vector-valued Gaussian Markov processes. (English) Zbl 0966.60038 Skorokhod, A. V. (ed.) et al., Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 91-100 (1995). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60G15 60G17 60J25 PDFBibTeX XMLCite \textit{V. V. Buldygin}, in: Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 91--100 (1995; Zbl 0966.60038)
Buldygin, V. V.; Zajats, V. V. On asymptotic normality of estimates of correlation functions of stationary Gaussian processes in a space of continuous functions. (English. Russian original) Zbl 0939.62090 Ukr. Math. J. 47, No. 11, 1696-1710 (1995); translation from Ukr. Mat. Zh. 47, No. 11, 1485-1497 (1995). Reviewer: R.E.Maiboroda (Kyïv) MSC: 62M10 60F17 62F12 62M09 62M15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zajats}, Ukr. Mat. Zh. 47, No. 11, 1485--1497 (1995; Zbl 0939.62090); translation from Ukr. Mat. Zh. 47, No. 11, 1485--1497 (1995) Full Text: DOI
Buldygin, V. V. On the properties of an empirical correlogram of a Gaussian process with square integrable spectral density. (English. Russian original) Zbl 0933.62098 Ukr. Math. J. 47, No. 7, 1006-1021 (1995); translation from Ukr. Mat. Zh. 47, No. 7, 876-889 (1995). Reviewer: R.E.Maiboroda (Kyïv) MSC: 62M99 60F05 62M10 60F17 PDFBibTeX XMLCite \textit{V. V. Buldygin}, Ukr. Mat. Zh. 47, No. 7, 876--889 (1995; Zbl 0933.62098); translation from Ukr. Mat. Zh. 47, No. 7, 876--889 (1995) Full Text: DOI
Buldygin, V. V.; Dykhovichnyj, O. O. On some singular integrals and their applications to problems of statistical estimation. (English. Ukrainian original) Zbl 0939.62099 Theory Probab. Math. Stat. 53, 19-31 (1996); translation from Teor. Jmovirn. Mat. Stat. 53, 17-28 (1995). Reviewer: R.E.Maiboroda (Kyïv) MSC: 62M40 62G20 60F17 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{O. O. Dykhovichnyj}, Teor. Ĭmovirn. Mat. Stat. 53, 17--28 (1995; Zbl 0939.62099); translation from Teor. Jmovirn. Mat. Stat. 53, 17--28 (1995)
Buldygin, V. V.; Shurenkova, A. V. On a criterion of the compactness in the space \(L_p. \). (English. Ukrainian original) Zbl 0940.46014 Theory Probab. Math. Stat. 52, 33-37 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 32-36 (1995). Reviewer: A.Ya.Olenko (Kyïv) MSC: 46E30 46B50 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{A. V. Shurenkova}, Teor. Ĭmovirn. Mat. Stat. 52, 32--36 (1995; Zbl 0940.46014); translation from Teor. Jmovirn. Mat. Stat. 52, 32--36 (1995)
Buldygin, V. V.; Kozachenko, Yu. V. Bernstein functionals and exponential inequalities for distributions of sums of random variables. (Ukrainian) Zbl 0937.60002 Dorogovtsev, A. Ya. (ed.), Mathematics today. 1994. No. 9. Kyïv: Vyshcha Shkola, 55-79 (1995). Reviewer: M.F.Gorodnij (Kyïv) MSC: 60E05 60E15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{Yu. V. Kozachenko}, in: Matematyka s'ogodni. 1994. Vyp. 9. Kyïv: Vyshcha Shkola. 55--79 (1995; Zbl 0937.60002)
Buldygin, V. V. On some properties of the generalized Schottky effect processes. (English) Zbl 1029.60507 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 34-51 (1995). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60F15 60F17 PDFBibTeX XMLCite \textit{V. V. Buldygin}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 34--51 (1995; Zbl 1029.60507)
Buldigin, V. V.; Shportyuk, V. G. On the normalization of random fields represented by stochastic integrals over fields with independent increments. (English. Ukrainian original) Zbl 0863.60047 Theory Probab. Math. Stat. 49, 47-58 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 65-81 (1993). MSC: 60G60 60G15 60G10 PDFBibTeX XMLCite \textit{V. V. Buldigin} and \textit{V. G. Shportyuk}, Theory Probab. Math. Stat. 49, 1 (1993; Zbl 0863.60047); translation from Teor. Jmovirn. Mat. Stat. 49, 65--81 (1993)
Buldygin, V. V.; Koval’, V. O. Convergence of methods for stochastic approximation in a Banach space. (English. Ukrainian original) Zbl 0838.62075 Theory Probab. Math. Stat. 48, 1-5 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 3-9 (1993). MSC: 62L20 60B12 47N30 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. O. Koval'}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0838.62075); translation from Teor. Jmovirn. Mat. Stat. 48, 3--9 (1993)
Buldygin, V. V.; Kozachenko, Yu. V. Estimates of the supremum distribution for a certain class of random processes. (English. Russian original) Zbl 0806.60042 Ukr. Math. J. 45, No. 5, 647-661 (1993); translation from Ukr. Mat. Zh. 45, No. 5, 596-608 (1993). MSC: 60G70 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{Yu. V. Kozachenko}, Ukr. Math. J. 45, No. 5, 647--661 (1993; Zbl 0806.60042); translation from Ukr. Mat. Zh. 45, No. 5, 596--608 (1993) Full Text: DOI
Buldygin, V. V.; Dem’yanenko, A. A. Asymptotic normality of an estimate of the joint correlation function in functional spaces. (Ukrainian. English summary) Zbl 0781.60033 Dopov. Akad. Nauk Ukr. 1993, No. 3, 32-36 (1993). MSC: 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{A. A. Dem'yanenko}, Dopov. Akad. Nauk Ukr. 1993, No. 3, 32--36 (1993; Zbl 0781.60033)
Buldygin, V. V.; Zayats, V. V. Asymptotic normality of an estimate of the correlation function in different functional spaces. (English) Zbl 0818.60022 Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 19-31 (1992). MSC: 60F05 62G05 62M40 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 19--31 (1992; Zbl 0818.60022)
Buldygin, V. V.; Kozachenko, Yu. V.; Leonenko, N. N. Works of M. I. Yadrenko in the theory of random fields. (English. Russian original) Zbl 0786.60066 Ukr. Math. J. 44, No. 11, 1343-1348 (1992); translation from Ukr. Mat. Zh. 44, No. 11, 1460-1465 (1992). MSC: 60G60 62M40 PDFBibTeX XMLCite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 44, No. 11, 1460--1465 (1992; Zbl 0786.60066); translation from Ukr. Mat. Zh. 44, No. 11, 1460--1465 (1992) Full Text: DOI
Buldygin, Valery; Zayats, Vladimir Estimation of correlation function and its derivatives over the whole parametric set. (English) Zbl 0783.62063 Information theory, statistical decision functions, random processes, Trans. 11th Prague Conf., Prague/Czech. 1990, Vol. A, 315-321 (1992). MSC: 62M09 62F12 60F05 PDFBibTeX XMLCite \textit{V. Buldygin} and \textit{V. Zayats}, in: Information theory, statistical decision functions, random processes. Transactions of the 11th Prague conference, held from August 27-31, 1990 in Prague, Czechoslovakia. Volume A. Dordrecht: Kluwer Academic Publishers. 315--321 (1992; Zbl 0783.62063)
Buldygin, V. V.; Zayats, V. V. Asymptotic properties of correlation bounds in functional spaces. II. (English. Russian original) Zbl 0749.62058 Ukr. Math. J. 43, No. 3, 286-292 (1991); translation from Ukr. Mat. Zh. 43, No. 3, 322-329 (1991). MSC: 62M09 60G15 60B11 60G60 62M40 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, Ukr. Math. J. 43, No. 3, 286--292 (1991; Zbl 0749.62058); translation from Ukr. Mat. Zh. 43, No. 3, 322--329 (1991) Full Text: DOI
Buldygin, V. V.; Solntsev, S. A. On convergence of sums of operator normed independent random vectors. (Russian) Zbl 0733.60048 Teor. Veroyatn. Primen. 36, No. 2, 346-351 (1991). Reviewer: Z.Jurek (Wrocław) MSC: 60F15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Teor. Veroyatn. Primen. 36, No. 2, 346--351 (1991; Zbl 0733.60048)
Buldygin, V. V.; Zayats, V. V. Asymptotic properties of correlation estimates in functional spaces. I. (Russian) Zbl 0724.62095 Ukr. Mat. Zh. 43, No. 2, 179-187 (1991). Reviewer: Sheng Wu He (Shanghai) MSC: 62M40 60G60 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, Ukr. Mat. Zh. 43, No. 2, 179--187 (1991; Zbl 0724.62095) Full Text: DOI
Buldygin, V. V.; Solntsev, S. A. On convergence of sums of operator-normed independent random vectors. (English. Russian original) Zbl 0774.60033 Theory Probab. Appl. 36, No. 2, 360-365 (1991); translation from Teor. Veroyatn. Primen. 36, No. 2, 346-351 (1991). MSC: 60F15 PDFBibTeX XML Full Text: DOI
Buldygin, V.; Koval’, V. Asymptotic behaviour of solutions of stochastic equations. (English) Zbl 0774.60062 New trends in probability and statistics. Vol. 1, Proc. 23rd Bakuriani Colloq. in Honour of Yu. V. Prokhorov, Bakuriani/USSR 1990, 289-300 (1991). Reviewer: A.Dale (Durban) MSC: 60H99 60F15 PDFBibTeX XMLCite \textit{V. Buldygin} and \textit{V. Koval'}, in: New trends in probability and statistics. Vol. 1. Proceedings of the XXIII Bakuriani colloquium in Honour of Yu. V. Prokhorov, Bakuriani, Georgia, 24 February - 4 March, 1990. Utrecht: VSP; Vilnius: Mokslas. 289--300 (1991; Zbl 0774.60062)
Buldygin, V. Semi-invariant conditions of weak convergence of random processes in the space of continuous functions. (English) Zbl 0790.60009 New trends in probability and statistics. Vol. 1, Proc. 23rd Bakuriani Colloq. in Honour of Yu. V. Prokhorov, Bakuriani/USSR 1990, 78-92 (1991). Reviewer: J.Szulga (Auburn) MSC: 60B10 60B05 60B12 PDFBibTeX XMLCite \textit{V. Buldygin}, in: New trends in probability and statistics. Vol. 1. Proceedings of the XXIII Bakuriani colloquium in Honour of Yu. V. Prokhorov, Bakuriani, Georgia, 24 February - 4 March, 1990. Utrecht: VSP; Vilnius: Mokslas. 78--92 (1991; Zbl 0790.60009)
Buldygin, V. V.; Zayats, V. V. Comparison theorems and asymptotic behavior of correlation estimators in spaces of continuous functions. II. (English. Russian original) Zbl 0766.60044 Ukr. Math. J. 43, No. 5, 535-539 (1991); translation from Ukr. Mat. Zh. 43, No. 5, 579-583 (1991). MSC: 60G10 62M99 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, Ukr. Math. J. 43, No. 5, 535--539 (1991; Zbl 0766.60044); translation from Ukr. Mat. Zh. 43, No. 5, 579--583 (1991) Full Text: DOI
Buldygin, V. V.; Zayats, V. V. Comparison theorems and asymptotic behavior of correlation estimators in spaces of continuous functions. I. (English. Russian original) Zbl 0744.60038 Ukr. Math. J. 43, No. 4, 444-451 (1991); translation from Ukr. Mat. Zh. 43, No. 4, 482-489 (1991). MSC: 60G15 60G10 60G60 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, Ukr. Math. J. 43, No. 4, 444--451 (1991; Zbl 0744.60038); translation from Ukr. Mat. Zh. 43, No. 4, 482--489 (1991) Full Text: DOI
Buldygin, V. V.; Zayats, V. V. Asymptotic properties of correlation bounds in functional spaces. I. (English. Russian original) Zbl 0745.62093 Ukr. Math. J. 43, No. 2, 154-161 (1991); translation from Ukr. Mat. Zh. 43, No. 2, 179-187 (1991). MSC: 62M40 60G60 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, Ukr. Math. J. 43, No. 2, 154--161 (1991; Zbl 0745.62093); translation from Ukr. Mat. Zh. 43, No. 2, 179--187 (1991) Full Text: DOI
Buldygin, V. V.; Solntsev, S. A. On the convergence of sums of independent random vectors normed by matrices. (English) Zbl 0732.60036 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, 197-206 (1990). Reviewer: A.V.Nagaev (Tashkent) MSC: 60F15 60G50 PDFBibTeX XML
Buldygin, V. V.; Yadrenko, M. I. A. V. Skorokhod’s works related to investigations of probability distributions in infinitely dimensional spaces. (English. Russian original) Zbl 0717.60011 Ukr. Math. J. 42, No. 9, 1040-1043 (1990); translation from Ukr. Mat. Zh. 42, No. 9, 1170-1174 (1990). Reviewer: M.I.Yadrenko MSC: 60B05 60J57 60H05 60J99 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{M. I. Yadrenko}, Ukr. Math. J. 42, No. 9, 1040--1043 (1990; Zbl 0717.60011); translation from Ukr. Mat. Zh. 42, No. 9, 1170--1174 (1990) Full Text: DOI
Buldygin, V. V.; Zayats, V. V. Comparison inequality for Gaussian stochastic processes and its application. (Russian. English summary) Zbl 0716.60037 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 10, 9-11 (1990). MSC: 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{V. V. Zayats}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 10, 9--11 (1990; Zbl 0716.60037)
Buldygin, V. V.; Yarovaya, N. V. Semiinvariant conditions of continuity of stochastic processes. (Russian. English summary) Zbl 0703.60034 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 2, 3-6 (1990). Reviewer: T.Inglot MSC: 60G17 60G60 60E15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{N. V. Yarovaya}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 2, 3--6 (1990; Zbl 0703.60034)
Buldygin, V. V.; Solntsev, S. A. A generalization of the contraction principle in the space of convergent sequences. (English. Russian original) Zbl 0738.60029 Theory Probab. Math. Stat. 43, 35-39 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 32-37 (1990). MSC: 60G17 46B25 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Theory Probab. Math. Stat. 43, 35--39 (1990; Zbl 0738.60029); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 32--37 (1990)
Buldygin, V. V.; Solntsev, S. A. Functional methods in problems of the summation of random variables. (Funktsional’nye metody v zadachakh summirovaniya sluchajnykh velichin.) (Russian) Zbl 0753.60010 Kiev: Naukova Dumka. 188 p. (1989). MSC: 60B12 40A30 60-02 60G15 60G17 60F05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Funktsional'nye metody v zadachakh summirovaniya sluchajnykh velichin (Russian). Kiev: Naukova Dumka (1989; Zbl 0753.60010)
Buldygin, V. V.; Solntsev, S. A. A generalized summation of a random series. (English. Russian original) Zbl 0704.60026 Ukr. Math. J. 41, No. 12, 1389-1395 (1989); translation from Ukr. Mat. Zh. 41, No. 12, 1618-1623 (1989). MSC: 60F15 60B12 40C05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Ukr. Math. J. 41, No. 12, 1389--1395 (1989; Zbl 0704.60026); translation from Ukr. Mat. Zh. 41, No. 12, 1618--1623 (1989) Full Text: DOI
Buldygin, V. V.; Solntsev, S. A. On generalized summability of random series. (Russian) Zbl 0689.60036 Ukr. Mat. Zh. 41, No. 12, 1618-1623 (1989). Reviewer: M.Iosifescu MSC: 60F15 60B12 60C05 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Ukr. Mat. Zh. 41, No. 12, 1618--1623 (1989; Zbl 0689.60036) Full Text: DOI
Buldygin, V. V.; Solntsev, S. A. Equivalence of sample and sequential continuity of Gaussian processes and the continuity of Gaussian Markov processes. (English. Russian original) Zbl 0679.60056 Theory Probab. Appl. 33, No. 4, 624-637 (1988); translation from Teor. Veroyatn. Primen. 33, No. 4, 672-686 (1988). MSC: 60G17 60G15 PDFBibTeX XMLCite \textit{V. V. Buldygin} and \textit{S. A. Solntsev}, Theory Probab. Appl. 33, No. 4, 624--637 (1988; Zbl 0679.60056); translation from Teor. Veroyatn. Primen. 33, No. 4, 672--686 (1988) Full Text: DOI