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 PDF BibTeX XML Cite \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 07081727 Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer (ISBN 978-3-319-96754-7/hbk; 978-3-319-96755-4/ebook). Understanding Complex Systems; Springer Complexity, 335-350 (2019). MSC: 60F 60G PDF BibTeX XML Cite \textit{O. I. Klesov} and \textit{I. Molchanov}, in: Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. 335--350 (2019; Zbl 07081727) 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 PDF BibTeX XML Cite \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, 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{O. I. Klesov} and \textit{U. Stadtmüller}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 271--278 (2013; Zbl 1289.60083)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. Germán} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 115--134 (2011; Zbl 1240.11009)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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, 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 9(25), No. 1--2, 30--51 (2003; Zbl 1068.26002)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{V. V. Buldygin} et al., Theory Stoch. Process. 8(24), No. 1--2, 47--66 (2002; Zbl 1026.60028)
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 PDF BibTeX XML Cite \textit{V. V. Buldygin} et al., Ukr. Mat. Zh. 54, No. 2, 149--169 (2002; Zbl 1006.60087) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{K. H. Indlekofer} and \textit{O. I. Klesov}, Sviti Mat. 6, No. 4, 1--6 (2000; Zbl 1049.11504)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{O. I. Klesov}, Sviti Mat. 4, No. 3, 1--2 (1998; Zbl 0915.11018)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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, 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{O. I. Klesov}, Ukr. Mat. Zh. 43, No. 9, 1161--1167 (1991; Zbl 0748.60082) 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 PDF BibTeX XML Cite \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. 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 PDF BibTeX XML Cite \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. 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{O. I. Klesov}, Ukr. Mat. Zh. 35, No. 3, 309--314 (1983; Zbl 0518.60038)
Klesov, O. I. Existence of moments of the supremum of ”weighted” multiple sums. (Russian) Zbl 0517.60033 Teor. Veroyatn. Mat. Stat. 28, 51-59 (1983). MSC: 60F15 60G60 60G50 PDF BibTeX XML
Klesov, O. I. A remark on the strong law of large numbers. (English) Zbl 0514.60033 Theory Probab. Math. Stat. 26, 79-86 (1983). MSC: 60F15 60F05 60G50 60G15 PDF BibTeX XML Cite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 26, 79--86 (1983; Zbl 0514.60033)
Klesov, O. I. On the law of the iterated logarithm for stable summands. (English) Zbl 0504.60039 Theory Probab. Math. Stat. 24, 67-70 (1982). MSC: 60F15 60E07 PDF BibTeX XML Cite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 24, 67--70 (1982; Zbl 0504.60039)
Klesov, O. I. The strong law of large numbers for homogeneous random fields. (English) Zbl 0504.60036 Theory Probab. Math. Stat. 25, 31-42 (1982). MSC: 60F15 60G60 PDF BibTeX XML Cite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 25, 31--42 (1982; Zbl 0504.60036)
Klesov, O. I. The strong law of large numbers for random fields with orthogonal values. (Russian) Zbl 0498.60033 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 7, 9-12 (1982). MSC: 60F15 60G60 PDF BibTeX XML Cite \textit{O. I. Klesov}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 7, 9--12 (1982; Zbl 0498.60033)
Klesov, O. I. The iterated logarithm law for multiple sums. (Russian) Zbl 0497.60028 Teor. Veroyatn. Mat. Stat. 27, 60-67 (1982). MSC: 60F15 60G50 60E15 PDF BibTeX XML
Klesov, O. I. A remark on the strong law of large numbers. (Russian) Zbl 0489.60034 Teor. Veroyatn. Mat. Stat. 26, 69-76 (1982). MSC: 60F15 PDF BibTeX XML
Klesov, O. I. On the law of iterated logarithm for stable summands. (Russian) Zbl 0471.60036 Teor. Veroyatn. Mat. Stat. 24, 60-63 (1981). MSC: 60F15 60E07 PDF BibTeX XML
Klesov, O. I. The strong law of large numbers for homogeneous random fields. (Russian) Zbl 0462.60033 Teor. Veroyatn. Mat. Stat. 25, 29-40 (1981). MSC: 60F15 60G60 PDF BibTeX XML
Klesov, O. I. The Hajek-Renyi inequality for random fields and the strong law of large numbers. (English) Zbl 0459.60019 Theory Probab. Math. Stat. 22, 63-71 (1981). MSC: 60E15 60F15 60G60 60F05 PDF BibTeX XML Cite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 22, 63--71 (1981; Zbl 0459.60019)
Klesov, O. I. The strong law of large numbers for random fields with independent values. (English) Zbl 0486.60029 Theory Probab. Math. Stat. 21, 75-78 (1980). MSC: 60F15 60G60 PDF BibTeX XML Cite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 21, 75--78 (1980; Zbl 0486.60029)
Klesov, O. I. The Hajek - Renyi inequality for random fields and strong law of large numbers. (Russian) Zbl 0425.60016 Teor. Veroyatn. Mat. Stat. 22, 58-66 (1980). MSC: 60E15 60F15 60G60 PDF BibTeX XML
Klesov, O. I. The law of large numbers for a random field with independent values. (Russian) Zbl 0412.60037 Teor. Veroyatn. Mat. Stat. 21, 65-68 (1979). MSC: 60F15 60G60 PDF BibTeX XML