Bogdanskii, V. Yu.; Klesov, O. I.; Molchanov, I. Uniform strong law of large numbers. (English) Zbl 1477.60055 Methodol. Comput. Appl. Probab. 23, No. 2, 461-470 (2021). Reviewer: Michael Voit (Dortmund) MSC: 60F15 60G55 60G57 60G60 PDFBibTeX XMLCite \textit{V. Yu. Bogdanskii} et al., Methodol. Comput. Appl. Probab. 23, No. 2, 461--470 (2021; Zbl 1477.60055) Full Text: DOI
Bogdans’kyĭ, V. Yu.; Klesov, O. I. The uniform strong law of large numbers without any assumption on a family of sets. (Ukrainian. English summary) Zbl 1474.60069 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 39-48 (2020). MSC: 60F15 PDFBibTeX XMLCite \textit{V. Yu. Bogdans'kyĭ} and \textit{O. I. Klesov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 39--48 (2020; Zbl 1474.60069) Full Text: DOI OA License
Indlekofer, Karl-Heinz; Kátai, Imre; Klesov, Oleg I.; Phong, Biu Minh A remark on uniformly distributed functions. (English) Zbl 1474.11157 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 167-172 (2020). MSC: 11N36 11N37 11N64 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 167--172 (2020; Zbl 1474.11157) Full Text: Link
Klesov, O. I.; Steinebach, J. G. On preserving the limit points of corresponding objects. (English) Zbl 1442.26003 J. Math. Anal. Appl. 486, No. 2, Article ID 123916, 8 p. (2020). MSC: 26A12 40A05 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{J. G. Steinebach}, J. Math. Anal. Appl. 486, No. 2, Article ID 123916, 8 p. (2020; Zbl 1442.26003) Full Text: DOI
Klesov, O. I.; Molchanov, I. Uniform strong law of large numbers for random signed measures. (English) Zbl 1481.60094 Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. Underst. Complex Syst., 335-350 (2019). MSC: 60G57 60G55 60H05 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{I. Molchanov}, in: Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. 335--350 (2019; Zbl 1481.60094) Full Text: DOI
Klesov, Oleg I.; Tymoshenko, Olena A. Almost sure asymptotic properties of solutions of a class of non-homogeneous stochastic differential equations. (English) Zbl 1419.34162 Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. Underst. Complex Syst., 97-114 (2019). MSC: 34F05 34D05 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{O. A. Tymoshenko}, in: Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. 97--114 (2019; Zbl 1419.34162) Full Text: DOI
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
Klesov, Oleg; Molchanov, Ilya Moment conditions in strong laws of large numbers for multiple sums and random measures. (English) Zbl 1386.60176 Stat. Probab. Lett. 131, 56-63 (2017). MSC: 60G55 60F15 60D05 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{I. Molchanov}, Stat. Probab. Lett. 131, 56--63 (2017; Zbl 1386.60176) Full Text: DOI arXiv
Klesov, Oleg; Stadtmüller, Ulrich Existence of moments of a counting process and convergence in multidimensional time. (English) Zbl 1426.60035 Adv. Appl. Probab. 48, No. A, 181-201 (2016). MSC: 60F15 60F10 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{U. Stadtmüller}, Adv. Appl. Probab. 48, No. A, 181--201 (2016; Zbl 1426.60035) Full Text: DOI
Doukhan, Paul; Klesov, Oleg I.; Steinebach, Josef G. Strong laws of large numbers in an \(F^{\alpha}\)-scheme. (English) Zbl 1378.60059 Hallin, Marc (ed.) et al., Mathematical statistics and limit theorems. Festschrift in honour of Paul Deheuvels. Selected papers based on the presentations at the conference on the occasion of his 65th birthday, Paris, France, June 20–21, 2013. Cham: Springer (ISBN 978-3-319-12441-4/hbk; 978-3-319-12442-1/ebook). 287-303 (2015). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Doukhan} et al., in: Mathematical statistics and limit theorems. Festschrift in honour of Paul Deheuvels. Selected papers based on the presentations at the conference on the occasion of his 65th birthday, Paris, France, June 20--21, 2013. Cham: Springer. 287--303 (2015; Zbl 1378.60059) Full Text: DOI
Li, Deli; Klesov, Oleg; Stoica, George On the central limit theorem along subsequences of sums of i.i.d. random variables. (English) Zbl 1307.60016 Stat. Pap. 55, No. 4, 1035-1045 (2014). Reviewer: Edward Omey (Brussels) MSC: 60F05 60G50 60E05 26A12 PDFBibTeX XMLCite \textit{D. Li} et al., Stat. Pap. 55, No. 4, 1035--1045 (2014; Zbl 1307.60016) Full Text: DOI
Klesov, Oleg Limit theorems for multi-indexed sums of random variables. (English) Zbl 1318.60005 Probability Theory and Stochastic Modelling 71. Berlin: Springer (ISBN 978-3-662-44387-3/hbk; 978-3-662-44388-0/ebook). xviii, 483 p. (2014). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60-02 60G60 60G50 60F15 60F05 60E15 60G15 60K05 PDFBibTeX XMLCite \textit{O. Klesov}, Limit theorems for multi-indexed sums of random variables. Berlin: Springer (2014; Zbl 1318.60005) Full Text: DOI
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
Klesov, Oleg I. Limit theorems for multiple sums of random variables. (Граничні теореми для кратних сум випадкових величин.) (Ukrainian) Zbl 1314.60006 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka. Kiev: TBiMC (ISBN 978-966-8725-09-8/hbk). 402 p. (2013). Reviewer: Taras Bodnar (Berlin) MSC: 60-02 60Fxx 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Граничні теореми для кратних сум випадкових величин (Ukrainian). Kiev: TBiMC (2013; Zbl 1314.60006)
Klesov, O. I.; Tymoshenko, O. A. Unbounded solutions of stochastic differential equations with time-dependent coefficients. (English) Zbl 1289.60010 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 25-35 (2013). MSC: 60E07 60F10 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{O. A. Tymoshenko}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 25--35 (2013; Zbl 1289.60010) Full Text: Link
Klesov, O. I.; Steinebach, J. G. How large are the deviations between a distribution function and a stable law. (English) Zbl 1289.60009 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 15-23 (2013). MSC: 60E07 60F10 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{J. G. Steinebach}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 15--23 (2013; Zbl 1289.60009) Full Text: Link
Klesov, O. I.; Stadtmüller, U. Existence of moments in the Hsu-Robbins-Erdős theorem. (English) Zbl 1289.60083 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 271-278 (2013). MSC: 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{U. Stadtmüller}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 271--278 (2013; Zbl 1289.60083)
Doukhan, Paul; Klesov, Oleg I.; Pakes, Anthony G.; Steinebach, Josef G. Limit theorems for record counts and times in the \(F ^{\alpha }\)-scheme. (English) Zbl 1282.60052 Extremes 16, No. 2, 147-171 (2013). Reviewer: Allan Gut (Uppsala) MSC: 60G70 60F15 PDFBibTeX XMLCite \textit{P. Doukhan} et al., Extremes 16, No. 2, 147--171 (2013; Zbl 1282.60052) 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)
Indlekofer, K.-H.; Kátai, I.; Klesov, O. I. On random arithmetical functions. II. (English) Zbl 1274.11143 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 295-308 (2012). MSC: 11N37 11N36 11N80 60F15 PDFBibTeX XMLCite \textit{K. H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 295--308 (2012; Zbl 1274.11143)
Klesov, O. I.; Kruglova, N. V. The distribution of a functional of the Wiener process and its application to the Brownian sheet. (English) Zbl 1283.60069 Statistics 45, No. 1, 19-26 (2011). MSC: 60G15 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{N. V. Kruglova}, Statistics 45, No. 1, 19--26 (2011; Zbl 1283.60069) Full Text: DOI
Indlekofer, K.-H.; Kátai, I.; Klesov, O. Renewal theorems for some weighted renewal functions. (English) Zbl 1240.60236 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 179-194 (2011). MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{K. H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 179--194 (2011; Zbl 1240.60236)
Germán, L.; Indlekofer, K.-H.; Klesov, O. On quantitative mean value estimations for multiplicative functions. (English) Zbl 1240.11009 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 115-134 (2011). MSC: 11A25 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{L. Germán} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 115--134 (2011; Zbl 1240.11009)
Indlekofer, Karl-Heinz; Klesov, Oleg I.; Steinebach, Josef G. Some limit theorems via Lévy distance. (English) Zbl 1274.60094 Publ. Math. Debr. 76, No. 3, 303-315 (2010). MSC: 60F15 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} et al., Publ. Math. Debr. 76, No. 3, 303--315 (2010; Zbl 1274.60094)
Doukhan, Paul; Klesov, Oleg; Lang, Gabriel Rates of convergence in some SLLN under weak dependence conditions. (English) Zbl 1240.60060 Acta Sci. Math. 76, No. 3-4, 683-695 (2010). Reviewer: Josef Steinebach (Köln) MSC: 60F15 60F99 60G10 62G07 PDFBibTeX XMLCite \textit{P. Doukhan} et al., Acta Sci. Math. 76, No. 3--4, 683--695 (2010; Zbl 1240.60060)
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
Indlekofer, K.-H.; Kátai, I.; Klesov, O. I. On random arithmetical functions. I. (English) Zbl 1220.11121 Lith. Math. J. 50, No. 3, 271-283 (2010). MSC: 11N37 11N60 PDFBibTeX XMLCite \textit{K. H. Indlekofer} et al., Lith. Math. J. 50, No. 3, 271--283 (2010; Zbl 1220.11121) Full Text: DOI
Indlekofer, K.-H.; Klesov, O. I.; Steinebach, J. G. An inequality for the Lévy distance between two distribution functions and its applications. (Ukrainian, English) Zbl 1224.60170 Teor. Jmovirn. Mat. Stat. 81, 53-64 (2009); translation in Theory Probab. Math. Stat. 81, 59-70 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J05 PDFBibTeX XMLCite \textit{K. H. Indlekofer} et al., Teor. Ĭmovirn. Mat. Stat. 81, 53--64 (2009; Zbl 1224.60170); translation in Theory Probab. Math. Stat. 81, 59--70 (2010) Full Text: DOI
Klesov, Oleg On the regular convergence of random multiple series. (English) Zbl 1212.26004 Acta Sci. Math. 75, No. 3-4, 493-498 (2009). MSC: 26A15 PDFBibTeX XMLCite \textit{O. Klesov}, Acta Sci. Math. 75, No. 3--4, 493--498 (2009; Zbl 1212.26004)
Indlekofer, K.-H.; Klesov, O. I. Strong law of large numbers for multiple sums whose indices belong to a sector with function boundaries. (English) Zbl 1180.60040 Theory Probab. Appl. 52, No. 4, 711-719 (2008); translation from Teor. Veroyatn. Primen. 52, No. 4, 803-809. MSC: 60G50 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{O. I. Klesov}, Theory Probab. Appl. 52, No. 4, 711--719 (2008; Zbl 1180.60040); translation from Teor. Veroyatn. Primen. 52, No. 4, 803--80 Full Text: DOI
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)
Indlekofer, K.-H.; Klesov, O. I. A generalisation of a Kolodyazhnyĭ theorem for the Lévy distance. (English) Zbl 1165.60013 Int. J. Pure Appl. Math. 47, No. 2, 235-241 (2008). Reviewer: Josef Steinebach (Köln) MSC: 60F05 60F10 62E17 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{O. I. Klesov}, Int. J. Pure Appl. Math. 47, No. 2, 235--241 (2008; Zbl 1165.60013)
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
Indlekofer, Karl-Heinz; Klesov, Oleg The asymptotic behavior over a small parameter of a series of large deviation probabilities weighted with the Dirichlet divisors function. (English) Zbl 1116.60009 Funct. Approximatio, Comment. Math. 35, 117-131 (2006). Reviewer: Josef Steinebach (Köln) MSC: 60F05 11N37 60G50 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} and \textit{O. Klesov}, Funct. Approximatio, Comment. Math. 35, 117--131 (2006; Zbl 1116.60009) Full Text: DOI Euclid
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.; 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)
Klesov, Oleg; Rosalsky, Andrew; Volodin, Andrei I. On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables. (English) Zbl 1070.60030 Stat. Probab. Lett. 71, No. 2, 193-202 (2005). MSC: 60F15 PDFBibTeX XMLCite \textit{O. Klesov} et al., Stat. Probab. Lett. 71, No. 2, 193--202 (2005; Zbl 1070.60030) Full Text: DOI
Indlekofer, Karl-Heinz; Klesov, Oleg The asymptotic behavior of the renewal process constructed from a random walk with a restricted multidimensional time domain. (English) Zbl 1108.60070 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 24, 209-221 (2004). MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} and \textit{O. Klesov}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 24, 209--221 (2004; Zbl 1108.60070)
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
Klesov, Oleg I.; Steinebach, Josef G. The asymptotic behavior of the renewal function constructed from a random walk in multidimensional time with restricted time domain. (English) Zbl 1108.60071 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 22, 181-192 (2003). MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{J. G. Steinebach}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 22, 181--192 (2003; Zbl 1108.60071)
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)
Klesov, Oleg On the order of growth of orthogonal random fields. (English) Zbl 1064.60077 Anal. Math. 29, No. 1, 15-28 (2003). MSC: 60G20 PDFBibTeX XMLCite \textit{O. Klesov}, Anal. Math. 29, No. 1, 15--28 (2003; Zbl 1064.60077) Full Text: DOI
Indlekofer, K.-H.; Klesov, O. I. Complete convergence in the strong law of large numbers for double sums indexed by a sector with functional boundaries. (Ukrainian, English) Zbl 1050.60034 Teor. Jmovirn. Mat. Stat. 68, 44-48 (2003); translation in Theory Probab. Math. Stat. 68, 49-54 (2004). Reviewer: A. D. Borisenko (Kyïv) MSC: 60F15 60K05 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{O. I. Klesov}, Teor. Ĭmovirn. Mat. Stat. 68, 44--48 (2003; Zbl 1050.60034); translation in Theory Probab. Math. Stat. 68, 49--54 (2004)
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)
Klesov, Oleg; Rosalsky, Andrew A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. II. (English) Zbl 1011.60011 Stochastic Anal. Appl. 20, No. 4, 839-846 (2002). Reviewer: Vjatscheslav Vasiliev (Tomsk) MSC: 60F15 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 20, No. 4, 839--846 (2002; Zbl 1011.60011) Full Text: DOI
Czerebak-Mrozowicz, Ewa B.; Klesov, Oleg I.; Rychlik, Zdzisław Marcinkiewicz-type strong law of large numbers for pairwise independent random fields. (English) Zbl 1013.60029 Probab. Math. Stat. 22, No. 1, 127-139 (2002). Reviewer: B.L.S.Prakasa Rao (New Delhi) MSC: 60G60 PDFBibTeX XMLCite \textit{E. B. Czerebak-Mrozowicz} et al., Probab. Math. Stat. 22, No. 1, 127--139 (2002; Zbl 1013.60029)
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
Klesov, Oleg; Rychlik, Zdzisław; Steinebach, Josef Strong limit theorems for general renewal processes. (English) Zbl 1001.60024 Probab. Math. Stat. 21, No. 2, 329-349 (2001). Reviewer: Allan Gut (Uppsala) MSC: 60E15 60K05 PDFBibTeX XMLCite \textit{O. Klesov} et al., Probab. Math. Stat. 21, No. 2, 329--349 (2001; Zbl 1001.60024)
Klesov, Oleg; Rosalsky, Andrew A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. (English) Zbl 0990.60027 Stochastic Anal. Appl. 19, No. 4, 627-641 (2001). Reviewer: Allan Gut (Uppsala) MSC: 60F15 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 19, No. 4, 627--641 (2001; Zbl 0990.60027) Full Text: DOI
Klesov, O. I. The boundedness of multiple series. (English. Ukrainian original) Zbl 0990.60048 Theory Probab. Math. Stat. 63, 99-108 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 90-99 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 60G50 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Teor. Ĭmovirn. Mat. Stat. 63, 90--99 (2000; Zbl 0990.60048); translation from Teor. Jmovirn. Mat. Stat. 63, 90--99 (2000)
Fazekas, I.; Klesov, O. A general approach to the strong law of large numbers. (English) Zbl 0991.60021 Theory Probab. Appl. 45, No. 3, 436-449 (2000) and Teor. Veroyatn. Primen. 45, No. 3, 568-583 (2000). Reviewer: Gheorghe Stoica (Saint John) MSC: 60F15 PDFBibTeX XMLCite \textit{I. Fazekas} and \textit{O. Klesov}, Theory Probab. Appl. 45, No. 3, 436--449 (2000) and Teor. Veroyatn. Primen. 45, No. 3, 568--583 (2000; Zbl 0991.60021) Full Text: DOI
Klesov, O. I. Strong law of large numbers for “subsequences” on the plain. (English) Zbl 0988.60015 Theory Stoch. Process. 6(22), No. 1-2, 47-53 (2000). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60F15 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Stoch. Process. 6(22), No. 1--2, 47--53 (2000; Zbl 0988.60015)
Klesov, O. I. The law of the iterated logarithm for multiple sums. (English. Ukrainian original) Zbl 0985.60021 Theory Probab. Math. Stat. 61, 41-48 (2000); translation from Teor. Jmovirn. Mat. Stat. 61, 39-46 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F05 60G60 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Teor. Ĭmovirn. Mat. Stat. 61, 39--46 (2000; Zbl 0985.60021); translation from Teor. Jmovirn. Mat. Stat. 61, 39--46 (2000)
Klesov, O. I. The existence of moments of the suprema of multiple sums and the strong law of large numbers. (English. Ukrainian original) Zbl 1004.60030 Theory Probab. Math. Stat. 62, 27-37 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 27-36 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F99 60G50 60F15 PDFBibTeX XMLCite \textit{O. I. Klesov}, Teor. Ĭmovirn. Mat. Stat. 62, 27--37 (2000; Zbl 1004.60030); translation from Teor. Jmovirn. Mat. Stat. 62, 27--36 (2000)
Indlekofer, K.-H.; Klesov, O. I. On the Dirichlet divisor problem. (Ukrainian) Zbl 1049.11504 Sviti Mat. 6, No. 4, 1-6 (2000). Reviewer: A. Ya. Olenko (Kyïv) MSC: 11N37 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{O. I. Klesov}, Sviti Mat. 6, No. 4, 1--6 (2000; Zbl 1049.11504)
Klesov, Oleg; Fazekas, István; Noszály, Csaba; Tómács, Tibor Strong laws of large numbers for sequences and fields. (English) Zbl 0993.60030 Theory Stoch. Process. 5(21), No. 3-4, 91-104 (1999). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60F15 60G60 PDFBibTeX XMLCite \textit{O. Klesov} et al., Theory Stoch. Process. 5(21), No. 3--4, 91--104 (1999; Zbl 0993.60030)
Klesov, Oleg I. A new method for the strong law of large numbers for random fields. (English) Zbl 0941.60056 Theory Stoch. Process. 4(20), No. 1-2, 122-128 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60F15 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Stoch. Process. 4(20), No. 1--2, 122--128 (1998; Zbl 0941.60056)
Klesov, O. I.; Rychlik, Z. Strong law of large numbers on partially ordered sets. (English. Russian original) Zbl 0943.60025 Theory Probab. Math. Stat. 58, 35-41 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 31-37 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{Z. Rychlik}, Teor. Ĭmovirn. Mat. Stat. 58, 31--37 (1998; Zbl 0943.60025); translation from Teor. Jmovirn. Mat. Stat. 58, 31--37 (1998)
Klesov, O. I. Fermat’s Last Theorem has been proved! (Ukrainian) Zbl 0915.11018 Sviti Mat. 4, No. 3, 1-2 (1998). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 11D41 11A41 PDFBibTeX XMLCite \textit{O. I. Klesov}, Sviti Mat. 4, No. 3, 1--2 (1998; Zbl 0915.11018)
Indlekofer, Karl-Heinz; Klesov, Oleg I. Dirichlet divisors in probability theory. (English) Zbl 0933.11046 Theory Stoch. Process. 3(19), No. 1-2, 208-215 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 11N37 60F15 60K05 11K65 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} and \textit{O. I. Klesov}, Theory Stoch. Process. 3(19), No. 1--2, 208--215 (1997; Zbl 0933.11046)
Klesov, Oleg I.; Steinebach, Josef G. Asymptotic behavior of renewal processes defined by random walks with multidimensional time. (English. Ukrainian original) Zbl 0923.60091 Theory Probab. Math. Stat. 56, 107-113 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 105-111 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov} and \textit{J. G. Steinebach}, Teor. Ĭmovirn. Mat. Stat. 56, 105--111 (1997; Zbl 0923.60091); translation from Teor. Jmovirn. Mat. Stat. 56, 105--111 (1997)
Klesov, Oleg; Rosalsky, Andrew On independence and conditional independence. (English) Zbl 0904.60004 J. Appl. Stat. Sci. 6, No. 2-3, 121-124 (1997). MSC: 60A05 62A01 62B99 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{A. Rosalsky}, J. Appl. Stat. Sci. 6, No. 2--3, 121--124 (1997; Zbl 0904.60004)
Gut, Allan; Klesov, Oleg; Steinebach, Josef Equivalences in strong limit theorems for renewal counting processes. (English) Zbl 0885.60026 Stat. Probab. Lett. 35, No. 4, 381-394 (1997). MSC: 60F15 60K05 PDFBibTeX XMLCite \textit{A. Gut} et al., Stat. Probab. Lett. 35, No. 4, 381--394 (1997; Zbl 0885.60026) Full Text: DOI
Fazekas, István; Klesov, Oleg I. Limit laws for sums of independent random variables on sets. (English) Zbl 0893.60021 Theory Stoch. Process. 2(18), No. 1-2, 137-149 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60G50 62E20 PDFBibTeX XMLCite \textit{I. Fazekas} and \textit{O. I. Klesov}, Theory Stoch. Process. 2(18), No. 1--2, 137--149 (1996; Zbl 0893.60021)
Klesov, O. I. Complete convergence for randomly indexed sums of random variables. (English) Zbl 0855.60046 J. Math. Sci., New York 76, No. 2, 2241-2249 (1995). Reviewer: O.K.Zakusilo (Kiev) MSC: 60G50 60F15 PDFBibTeX XMLCite \textit{O. I. Klesov}, J. Math. Sci., New York 76, No. 2, 2241--2249 (1995; Zbl 0855.60046) Full Text: DOI
Klesov, O. I. Almost sure convergence of multiple series of independent random variables. (English. Russian original) Zbl 0845.60028 Theory Probab. Appl. 40, No. 1, 52-65 (1995); translation from Teor. Veroyatn. Primen. 40, No. 1, 68-83 (1995). Reviewer: R.J.Tomkins (Regina) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Teor. Veroyatn. Primen. 40, No. 1, 68--83 (1995; Zbl 0845.60028); translation from Teor. Veroyatn. Primen. 40, No. 1, 68--83 (1995)
Klesov, O. I. The law of large numbers for multiple sums of independent identically distributed random variables. (English. Russian original) Zbl 0858.60021 Theory Probab. Math. Stat. 50, 77-87 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 76-86 (1994). Reviewer: T.I.Jeon (Taejon) MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0858.60021); translation from Teor. Jmovirn. Mat. Stat. 50, 76--86 (1994)
Klesov, O. I. On an analog of Feller’s theorem for multiple sums. (English. Russian original) Zbl 0830.60042 Math. Notes 55, No. 1, 37-42 (1994); translation from Mat. Zametki 55, No. 1, 53-61 (1994). Reviewer: A.Gut (Uppsala) MSC: 60G60 60G50 60F15 PDFBibTeX XMLCite \textit{O. I. Klesov}, Math. Notes 55, No. 1, 1 (1994; Zbl 0830.60042); translation from Mat. Zametki 55, No. 1, 53--61 (1994) Full Text: DOI
Klesov, O. I. On the convergence rate in a theorem of Heyde. (English. Ukrainian original) Zbl 0861.60054 Theory Probab. Math. Stat. 49, 83-87 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 119-125 (1993). MSC: 60G50 60F10 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 49, 1 (1993; Zbl 0861.60054); translation from Teor. Jmovirn. Mat. Stat. 49, 119--125 (1993)
Klesov, O. I. Convergence of the series of large-deviation probabilities for sums of independent equally distributed random variables. (English. Russian original) Zbl 0805.60021 Ukr. Math. J. 45, No. 6, 845-862 (1993); translation from Ukr. Mat. Zh. 45, No. 6, 770-784 (1993). MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Ukr. Math. J. 45, No. 6, 845--862 (1993; Zbl 0805.60021); translation from Ukr. Mat. Zh. 45, No. 6, 770--784 (1993) Full Text: DOI
Klesov, Oleg I. The weak law of large numbers for multiple sums of independent identically distributed random variables. (English) Zbl 0817.60054 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. 158-168 (1992). MSC: 60G60 60F05 PDFBibTeX XMLCite \textit{O. I. Klesov}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 158--168 (1992; Zbl 0817.60054)
Klesov, O. I. Multiple sums of random variables and laws of large numbers. (Russian) Zbl 0769.60031 Mathematics today, Sci.-Methodological Collect. 7, 146-168 (1992). Reviewer: V.Koval’ (Ternopil) MSC: 60F15 PDFBibTeX XMLCite \textit{O. I. Klesov}, in: Matematika segodnya. 1992. Nauchno-metodicheskij sbornik. Vyp. 7. Kiï|v: Vishcha Shkola. 146--168 (1992; Zbl 0769.60031)
Klesov, O. I. A renewal theorem for a random walk with multi-dimensional time. (Russian) Zbl 0748.60082 Ukr. Mat. Zh. 43, No. 9, 1161-1167 (1991). Reviewer: W.Szczotka (Wrocław) MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Ukr. Mat. Zh. 43, No. 9, 1161--1167 (1991; Zbl 0748.60082) Full Text: DOI
Klesov, O. I. Renewal theorems for random walk with multidimensional time. (English. Russian original) Zbl 0786.60110 Ukr. Math. J. 43, No. 9, 1089-1094 (1991); translation from Ukr. Mat. Zh. 43, No. 9, 1161-1167 (1991). MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Ukr. Math. J. 43, No. 9, 1089--1094 (1991; Zbl 0786.60110); translation from Ukr. Mat. Zh. 43, No. 9, 1161--1167 (1991) Full Text: DOI
Klesov, O. I. On integrability of \(\sup{|{}}S_{n_ k}/n_ k{|{}}\). (English) Zbl 0772.60026 New trends in probability and statistics. Vol. 1, Proc. 23rd Bakuriani Colloq. in Honour of Yu. V. Prokhorov, Bakuriani/USSR 1990, 38-42 (1991). Reviewer: A.Gut (Uppsala) MSC: 60F25 60E15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, 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. 38--42 (1991; Zbl 0772.60026)
Klesov, O. I. The rate of convergence of sums of a random number of random variables. (English. Russian original) Zbl 0713.60039 Theory Probab. Math. Stat. 39, 75-81 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 65-71 (1988). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 39, 75--81 (1989; Zbl 0713.60039); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 65--71 (1988)
Klesov, O. I. Convergence rate for sums of a random number of random variables. (Russian) Zbl 0667.60037 Teor. Veroyatn. Mat. Stat., Kiev 39, 65-71 (1988). Reviewer: O.I.Klesov MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Teor. Veroyatn. Mat. Stat., Kiev 39, 65--71 (1988; Zbl 0667.60037)
Klesov, O. I. The law of the iterated logarithm for weighted sums of independent identically distributed random variables. (English. Russian original) Zbl 0623.60042 Theory Probab. Appl. 31, 337-342 (1987); translation from Teor. Veroyatn. Primen. 31, No. 2, 389-393 (1986). Reviewer: N.Kalinauskaitė MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Appl. 31, 337--342 (1987; Zbl 0623.60042); translation from Teor. Veroyatn. Primen. 31, No. 2, 389--393 (1986) Full Text: DOI
Klesov, O. I. A limit theorem of multiple sums for identically distributed independent random variables. (English. Russian original) Zbl 0673.60029 J. Sov. Math. 38, No. 6, 2321-2326 (1987); translation from Probability distributions and mathematical statistics, Collect. Artic., Tashkent 1986, 265-277 (1986). Reviewer: A.K.Basu MSC: 60F10 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, J. Sov. Math. 38, No. 6, 2321--2326 (1986; Zbl 0673.60029); translation from Probability distributions and mathematical statistics, Collect. Artic., Tashkent 1986, 265--277 (1986) Full Text: DOI
Klesov, O. I. On convergence of series of dependent random elements in Hilbert spaces. (English. Russian original) Zbl 0635.60027 Theory Probab. Math. Stat. 32, 35-43 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 33-42 (1985). Reviewer: T.Mori MSC: 60F15 60G10 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 32, 35--43 (1986; Zbl 0635.60027); translation from Teor. Veroyatn. Mat. Stat. 32, 33--42 (1985)
Klesov, O. I. Uniform convergence of random Fourier transforms almost surely. (English. Russian original) Zbl 0631.60035 Theory Probab. Math. Stat. 33, 27-33 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 25-31 (1985). Reviewer: C C.Heyde MSC: 60F15 42A20 41A25 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 33, 27--33 (1986; Zbl 0631.60035); translation from Teor. Veroyatn. Mat. Stat. 33, 25--31 (1985)
Klesov, O. I. Strong law of large numbers for multiple sums of independent, identically distributed random variables. (English. Russian original) Zbl 0659.60053 Math. Notes 38, 1006-1014 (1985); translation from Mat. Zametki 38, No. 6, 915-930 (1985). MSC: 60F15 60G50 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Math. Notes 38, 1006--1014 (1985; Zbl 0659.60053); translation from Mat. Zametki 38, No. 6, 915--930 (1985) Full Text: DOI
Klesov, O. I. Estimation of a finite-spectrum Gaussian random field from observations of signals on a lattice in \(R^ d\). (English. Russian original) Zbl 0609.94008 Cybernetics 21, 463-470 (1985); translation from Kibernetika 1985, No. 4, 41-46 (1985). Reviewer: W.Splettstößer MSC: 94A15 60G15 PDFBibTeX XMLCite \textit{O. I. Klesov}, Cybernetics 21, 463--470 (1985; Zbl 0609.94008); translation from Kibernetika 1985, No. 4, 41--46 (1985) Full Text: DOI
Klesov, O. I. The strong law of large numbers for multiple sums of independent equal distributed random variables. (Russian) Zbl 0591.60026 Mat. Zametki 38, No. 6, 915-930 (1985). Reviewer: A.M.Zapala MSC: 60F15 60G50 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Mat. Zametki 38, No. 6, 915--930 (1985; Zbl 0591.60026)
Klesov, O. I. Rate of convergence of some random series. (English) Zbl 0587.60029 Theory Probab. Math. Stat. 30, 91-101 (1985). MSC: 60F15 41A25 60G46 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 30, 91--101 (1985; Zbl 0587.60029)
Klesov, O. I. Almost-certain convergence of multiple Kotel’nikov-Shannon series. (English. Russian original) Zbl 0568.94013 Probl. Inf. Transm. 20, 218-231 (1984); translation from Probl. Peredachi Inf. 20, No. 3, 79-93 (1984). MSC: 94A15 60G60 60F15 PDFBibTeX XMLCite \textit{O. I. Klesov}, Probl. Inf. Transm. 20, 218--231 (1984; Zbl 0568.94013); translation from Probl. Peredachi Inf. 20, No. 3, 79--93 (1984)
Klesov, O. I. The convergence rate of some random series. (Russian) Zbl 0566.60032 Teor. Veroyatn. Mat. Stat. 30, 81-92 (1984). Reviewer: A.V.Nagaev MSC: 60F15 60G50 60G42 PDFBibTeX XML
Klesov, O. I. Asymptotics of one series from probabilities. (Russian. English summary) Zbl 0563.60030 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 8, 15-19 (1984). Reviewer: A.Korzeniowski MSC: 60F15 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 8, 15--19 (1984; Zbl 0563.60030)
Klesov, O. I. Existence of the moments of the supremum of ”weighted” multiple sums. (English) Zbl 0538.60033 Theory Probab. Math. Stat. 28, 57-64 (1984). MSC: 60F15 60G50 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 28, 57--64 (1984; Zbl 0538.60033)
Klesov, O. I. On the sets determining the strong law of large numbers. (Russian) Zbl 0542.60032 Teor. Sluch. Protsess. 11, 48-51 (1983). Reviewer: Guijing Chen (Hefei) MSC: 60F15 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Teor. Sluch. Protsess. 11, 48--51 (1983; Zbl 0542.60032)
Klesov, O. I. On conditions of the restorability of signals with respect to discrete references. (Russian. English summary) Zbl 0537.94005 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 11, 15-17 (1983). MSC: 94A15 60G60 PDFBibTeX XMLCite \textit{O. I. Klesov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 11, 15--17 (1983; Zbl 0537.94005)
Klesov, O. I. Rate of convergence of series of random variables. (English) Zbl 0536.60035 Ukr. Math. J. 35, 264-268 (1983). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Ukr. Math. J. 35, 264--268 (1983; Zbl 0536.60035) Full Text: DOI
Klesov, O. I. The law of the iterated logarithm for multiple sums. (English) Zbl 0521.60031 Theory Probab. Math. Stat. 27, 65-72 (1983). MSC: 60F15 60G50 60E15 PDFBibTeX XMLCite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 27, 65--72 (1983; Zbl 0521.60031)
Klesov, O. I. On the rate of convergence of series of random variables. (Russian) Zbl 0518.60038 Ukr. Mat. Zh. 35, No. 3, 309-314 (1983). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{O. I. Klesov}, Ukr. Mat. Zh. 35, No. 3, 309--314 (1983; Zbl 0518.60038)