Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Frolov, Andrei Nikolaevich
Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 24
Presentations: 2

Number of views:
This page:1065
Abstract pages:4898
Full texts:1804
References:707
Associate professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person29029
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/314961

Publications in Math-Net.Ru Citations
2024
1. A. N. Frolov, “On estimation of values of jumps for discrete distribution functions”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:3 (2024),  517–525  mathnet
2023
2. A. N. Frolov, “On probabilities of large deviations of combinatorial sums of independent random variables satisfying Linnik's condition”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023),  545–553  mathnet
2022
3. A. N. Frolov, “On strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decays of correlations”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:4 (2022),  644–652  mathnet; Vestn. St. Petersbg. Univ., Math., 9:4 (2022), 419–425
4. A. N. Frolov, “On a strong form of the Borel-Cantelli lemma”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:1 (2022),  85–93  mathnet; Vestn. St. Petersbg. Univ., Math., 9:1 (2022), 64–70 1
2020
5. A. N. Frolov, “On bounds for convergence rates in combinatorial strong limit theorems and its applications”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:4 (2020),  688–698  mathnet; Vestn. St. Petersbg. Univ., Math., 7:4 (2020), 443–449
2011
6. A. N. Frolov, “Limit theorems for small deviation probabilities of some iterated stochastic processes”, Zap. Nauchn. Sem. POMI, 396 (2011),  218–232  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:6 (2013), 761–768  scopus 4
2009
7. A. N. Frolov, “On asymptotic behaviour of probabilities of large and moderate deviations for some iterated stochastic processes”, Zap. Nauchn. Sem. POMI, 368 (2009),  229–242  mathnet; J. Math. Sci. (N. Y.), 167:4 (2010), 566–573  scopus
2008
8. Andrei N. Frolov, “On asymptotic behaviour of probabilities of small deviations for compound Cox processes”, Theory Stoch. Process., 14(30):2 (2008),  19–27  mathnet
9. A. N. Frolov, “On asymptotic behaviour of probabilities of large deviations for compound Cox processes”, Zap. Nauchn. Sem. POMI, 361 (2008),  167–181  mathnet  zmath; J. Math. Sci. (N. Y.), 159:3 (2009), 376–383  scopus 2
2007
10. A. I. Martikainen, A. N. Frolov, J. Steinebach, “On probabilities of small deviations for compound renewal processes”, Teor. Veroyatnost. i Primenen., 52:2 (2007),  366–375  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 52:2 (2008), 328–337  isi  scopus 6
11. A. N. Frolov, “Limit theorems for increments of compound renewal processes”, Zap. Nauchn. Sem. POMI, 351 (2007),  259–283  mathnet; J. Math. Sci. (N. Y.), 152:6 (2008), 944–957  scopus 3
2006
12. A. N. Frolov, “On probabilities of small deviations for compound Cox processes”, Zap. Nauchn. Sem. POMI, 339 (2006),  163–175  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 145:2 (2007), 4931–4937  scopus 4
13. A. I. Martikainen, A. N. Frolov, “On the Chung law for compound renewal processes”, Zap. Nauchn. Sem. POMI, 339 (2006),  54–62  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 145:2 (2007), 4866–4870  scopus
2004
14. A. N. Frolov, “Unified limit theorems for increments of processes with independent increments”, Teor. Veroyatnost. i Primenen., 49:3 (2004),  601–609  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:3 (2005), 531–540  isi 7
15. A. N. Frolov, “On the law of the iterated logarithm for increments of sums of independent random variables”, Zap. Nauchn. Sem. POMI, 320 (2004),  174–186  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:1 (2006), 4575–4582 3
16. A. N. Frolov, “Strong limit theorems for increments of sums of independent random variables”, Zap. Nauchn. Sem. POMI, 311 (2004),  260–285  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 133:3 (2006), 1356–1370 4
2003
17. A. N. Frolov, “Limit theorems for increments of sums of independent random variables”, Teor. Veroyatnost. i Primenen., 48:1 (2003),  104–121  mathnet  mathscinet  zmath; Theory Probab. Appl., 48:1 (2004), 93–107  isi 11
18. A. N. Frolov, “Strong limit theorems for increments of renewal processes”, Zap. Nauchn. Sem. POMI, 298 (2003),  208–225  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:1 (2005), 2614–2624 3
19. A. N. Frolov, “On asymptotic behaviour of increments of random fields”, Zap. Nauchn. Sem. POMI, 298 (2003),  191–207  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:1 (2005), 2604–2613 3
2002
20. A. N. Frolov, “On the asymptotic behavior of the large increments of sums of independent random variables”, Teor. Veroyatnost. i Primenen., 47:2 (2002),  366–374  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:2 (2003), 315–323  isi 6
21. A. N. Frolov, “On probabilities of moderate deviations of sums of independent random variables”, Zap. Nauchn. Sem. POMI, 294 (2002),  200–215  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:1 (2005), 1787–1796 10
2001
22. A. N. Frolov, A. I. Martikainen, J. Steinebach, “Limit theorems for maxima of sums and renewal processes”, Zap. Nauchn. Sem. POMI, 278 (2001),  261–274  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:6 (2003), 5658–5666 4
23. A. N. Frolov, “On asymptotic behaviour of increments of sums over increasing runs”, Zap. Nauchn. Sem. POMI, 278 (2001),  248–260  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:6 (2003), 5650–5657 3
1999
24. A. N. Frolov, “On asymptotic behaviour of increments of sums over head runs”, Zap. Nauchn. Sem. POMI, 260 (1999),  263–277  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:6 (2002), 2229–2240 3

Presentations in Math-Net.Ru
1. Предельные теоремы для комбинаторных сумм независимых случайных величин
A. N. Frolov
Probability and Approximation
April 27, 2023 18:00
2. Об оценках вероятностей объединений событий и лемме Бореля-Кантелли
A. N. Frolov
Seminar of Chebyshev Laboratory on Probability Theory
October 9, 2015 16:15

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024