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Chistyakov, Gennadii Petrovich

Statistics Math-Net.Ru
Total publications: 27
Scientific articles: 25

Number of views:
This page:2951
Abstract pages:6668
Full texts:3086
References:395
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person18074
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/238423

Publications in Math-Net.Ru Citations
2021
1. G. P. Chistyakov, F. Götze, “Approximation of free convolutions by free infinitely divisible laws”, Teor. Veroyatnost. i Primenen., 66:4 (2021),  806–838  mathnet  mathscinet  zmath; Theory Probab. Appl., 66:4 (2022), 640–667  scopus
2017
2. S. G. Bobkov, G. P. Chistyakov, F. Götze, “Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions”, Zap. Nauchn. Sem. POMI, 457 (2017),  37–52  mathnet; J. Math. Sci. (N. Y.), 238:4 (2019), 366–376 3
2012
3. S. G. Bobkov, G. P. Chistyakov, F. Götze, “Stability problems in Cramér-type characterization in case of I.I.D. Summands”, Teor. Veroyatnost. i Primenen., 57:4 (2012),  701–723  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:4 (2013), 568–588  isi  scopus 7
4. S. G. Bobkov, G. P. Chistyakov, “Bounds on the maximum of the density for sums of independent random variables”, Zap. Nauchn. Sem. POMI, 408 (2012),  62–73  mathnet  mathscinet; J. Math. Sci. (N. Y.), 199:2 (2014), 100–106  scopus 26
2003
5. G. P. Chistyakov, F. Götze, “On bounds for moderate deviations for Student's statistic”, Teor. Veroyatnost. i Primenen., 48:3 (2003),  609–615  mathnet  mathscinet  zmath; Theory Probab. Appl., 48:3 (2004), 528–535  isi 6
2002
6. G. P. Chistyakov, F. Götze, “Moderate deviations for Student's statistic”, Teor. Veroyatnost. i Primenen., 47:3 (2002),  518–532  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:3 (2003), 415–428  isi 9
7. G. P. Chistyakov, “A new asymptotic expansion and asymptotically best constants in Lyapunov's theorem. III”, Teor. Veroyatnost. i Primenen., 47:3 (2002),  475–497  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:3 (2003), 395–414  isi 13
2001
8. G. P. Chistyakov, “A New Asymptotic Expansion and Asymptotically Best Constants in Lyapunov's Theorem. II”, Teor. Veroyatnost. i Primenen., 46:3 (2001),  573–579  mathnet  mathscinet  zmath; Theory Probab. Appl., 46:3 (2002), 516–522  isi 13
9. G. P. Chistyakov, “A New Asymptotic Expansion and Asymptotically Best Constants in Lyapunov's Theorem. I.”, Teor. Veroyatnost. i Primenen., 46:2 (2001),  326–344  mathnet  mathscinet  zmath; Theory Probab. Appl., 46:2 (2002), 226–242  isi 21
1997
10. A. I. Il'inskii, G. P. Chistyakov, “On the problem of characterizing probability distributions by absolute moments of partial sums”, Teor. Veroyatnost. i Primenen., 42:3 (1997),  473–481  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:3 (1998), 426–432  isi
1996
11. G. P. Chistyakov, “Asymptotically proper constants in Liapunov's theorem”, Zap. Nauchn. Sem. POMI, 228 (1996),  349–355  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:3 (1999), 480–483 9
1995
12. G. P. Chistyakov, S. Yu. Pergamentsev, “Some extensions of the Darmois–Skitovich and Kagan Theorems to classes of the generalized random variables”, Mat. Fiz. Anal. Geom., 2:3 (1995),  463–488  mathnet  zmath
1994
13. G. P. Chistyakov, “The exact-order estimates of decompositional stability of Linnik's $\mathfrak{L}$ class distributions”, Teor. Veroyatnost. i Primenen., 39:2 (1994),  438–446  mathnet  mathscinet  zmath; Theory Probab. Appl., 39:2 (1994), 315–322  isi
1991
14. G. P. Chistyakov, “Approach of $n$-fold convolutions of distributions to infinitely divisible distributions”, Dokl. Akad. Nauk SSSR, 316:6 (1991),  1330–1333  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 297–299
1990
15. G. P. Chistyakov, “On a problem of A. N. Kolmogorov”, Zap. Nauchn. Sem. LOMI, 184 (1990),  289–319  mathnet 1
1988
16. G. P. Chistyakov, “On $\alpha$-Decompositions of Normal Distribution”, Teor. Veroyatnost. i Primenen., 33:1 (1988),  163–166  mathnet  mathscinet  zmath; Theory Probab. Appl., 33:1 (1988), 152–155  isi
1986
17. G. P. Čistyakov, “Stability of decompositions of distribution laws”, Teor. Veroyatnost. i Primenen., 31:3 (1986),  433–450  mathnet  mathscinet  zmath; Theory Probab. Appl., 31:3 (1987), 375–390  isi 6
1979
18. G. P. Chistyakov, “Estimations of the stability of decompositions for the compositions of the Gauss and Poisson distributions”, Zap. Nauchn. Sem. LOMI, 87 (1979),  164–186  mathnet  mathscinet  zmath; J. Soviet Math., 17:6 (1981), 2337–2351
1978
19. G. P. Chistyakov, “On the $\alpha$-decompositions of characteristic functions that are limiting values of analytic functions”, Mat. Sb. (N.S.), 107(149):2(10) (1978),  275–288  mathnet  mathscinet  zmath; Math. USSR-Sb., 35:4 (1979), 555–567  isi
1977
20. A. E. Fryntov, G. P. Chistyakov, “On the membership of lattice probability distributions in the class $I_0$”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  462–475  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:2 (1977), 441–452 1
1976
21. G. P. Chistyakov, “Decomposition of a normal law into a convolution of functions of bounded variation”, Mat. Zametki, 19:1 (1976),  133–147  mathnet  mathscinet  zmath; Math. Notes, 19:1 (1976), 80–87
1975
22. G. P. Chistyakov, “On a problem of Dugue”, Dokl. Akad. Nauk SSSR, 224:4 (1975),  775–778  mathnet  mathscinet  zmath
23. L. Z. Livshits, I. V. Ostrovskii, G. P. Chistyakov, “Arithmetic of probability laws”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 12 (1975),  5–42  mathnet  mathscinet  zmath; J. Soviet Math., 6:2 (1976), 99–122 3
1971
24. G. P. Chistyakov, “On the conditions under which probability laws with nonanalytic characteristic functions belong to class $I_0$”, Dokl. Akad. Nauk SSSR, 201:2 (1971),  280–283  mathnet  mathscinet  zmath 1
1970
25. G. P. Chistyakov, “A generalization of theorems due to H. Cramer and Yu. V. Linnik–V. P. Skitovič”, Teor. Veroyatnost. i Primenen., 15:2 (1970),  345–350  mathnet  mathscinet  zmath; Theory Probab. Appl., 15:2 (1970), 331–336 3

2005
26. V. S. Azarin, A. A. Gol'dberg, A. I. Il'inskii, V. A. Marchenko, L. A. Pastur, I. V. Skrypnik, M. L. Sodin, A. M. Ulanovskii, G. M. Feldman, E. Ya. Khruslov, G. P. Chistyakov, “Iosif Vladimirovich Ostrovskii (on his 70th birthday)”, Uspekhi Mat. Nauk, 60:1(361) (2005),  186–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:1 (2005), 189–192  isi
1995
27. V. A. Azarin, A. A. Gol'dberg, A. I. Il'inskii, V. A. Marchenko, L. A. Pastur, L. I. Ronkin, M. L. Sodin, G. M. Feldman, A. E. Fryntov, G. P. Chistyakov, “Iosif Vladimirovich Ostrovskii (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 50:2(302) (1995),  232–235  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:2 (1995), 465–468  isi

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