Образец цитирования:
В. А. Статулявичус, “Предельные теоремы для плотностей и асимптотические разложения для распределений сумм независимых случайных величин”, Теория вероятн. и ее примен., 10:4 (1965), 645–659; Theory Probab. Appl., 10:4 (1965), 582–595
\RBibitem{Sta65}
\by В.~А.~Статулявичус
\paper Предельные теоремы для плотностей и асимптотические разложения для распределений сумм независимых случайных величин
\jour Теория вероятн. и ее примен.
\yr 1965
\vol 10
\issue 4
\pages 645--659
\mathnet{http://mi.mathnet.ru/tvp565}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=193660}
\zmath{https://zbmath.org/?q=an:0178.53803}
\transl
\jour Theory Probab. Appl.
\yr 1965
\vol 10
\issue 4
\pages 582--595
\crossref{https://doi.org/10.1137/1110074}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tvp565
https://www.mathnet.ru/rus/tvp/v10/i4/p645
Эта публикация цитируется в следующих 35 статьяx:
Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze, “Richter's local limit theorem, its refinement, and related results*”, Lith Math J, 63:2 (2023), 138
Punyapat Kammoo, Kritsana Neammanee, Kittipong Laipaporn, “The local limit theorem for general weighted sums of Bernoulli random variables”, Communications in Statistics - Theory and Methods, 2023, 1
Punyapat Kammoo, Kittipong Laipaporn, Kritsana Neammanee, “Local limit theorems without assuming finite third moment”, J Inequal Appl, 2023:1 (2023)
С. Г. Бобков, В. В. Ульянов, “Поправка Чебышёва–Эджворта в центральной предельной теореме для целочисленных независимых слагаемых”, Теория вероятн. и ее примен., 66:4 (2021), 676–692; S. G. Bobkov, V. V. Ulyanov, “The Chebyshev–Edgeworth correction in the central limit theorem for integer-valued independent summands”, Theory Probab. Appl., 66:4 (2022), 537–549
Siripraparat T. Neammanee K., “An Improvement of Convergence Rate in the Local Limit Theorem For Integral-Valued Random Variables”, J. Inequal. Appl., 2021:1 (2021), 57
Sergey G. Bobkov, Alexey A. Naumov, Vladimir V. Ulyanov, Springer Proceedings in Mathematics & Statistics, 371, Recent Developments in Stochastic Methods and Applications, 2021, 178
Bobkov S.G., “Berry-Esseen Bounds and Edgeworth Expansions in the Central Limit Theorem For Transport Distances”, Probab. Theory Relat. Field, 170:1-2 (2018), 229–262
Bobkov S.G., “Asymptotic Expansions For Products of Characteristic Functions Under Moment Assumptions of Non-Integer Orders”, Convexity and Concentration, IMA Volumes in Mathematics and Its Applications, 161, ed. Carlen E. Madiman M. Werner E., Springer, 2017, 297–357
Cekanavicius V., “Approximation Methods in Probability Theory”, Approximation Methods in Probability Theory, Universitext, Springer International Publishing Ag, 2016, 1–274
Vydas Čekanavičius, Universitext, Approximation Methods in Probability Theory, 2016, 51
Vydas Čekanavičius, Universitext, Approximation Methods in Probability Theory, 2016, 69
Vydas Čekanavičius, Universitext, Approximation Methods in Probability Theory, 2016, 107
Vydas Čekanavičius, Universitext, Approximation Methods in Probability Theory, 2016, 223
Vydas Čekanavičius, Universitext, Approximation Methods in Probability Theory, 2016, 207
Vydas Čekanavičius, Universitext, Approximation Methods in Probability Theory, 2016, 21
Vincent Fromion, Emanuele Leoncini, Philippe Robert, “A Stochastic Model of the Production of Multiple Proteins in Cells”, SIAM J. Appl. Math., 75:6 (2015), 2562
Aurelija Kasparavičiūtė, Theorems of Large Deviations for the Sums of a Random Number of Independent Random Variables, 2013
А. Ю. Веретенников, С. А. Клоков, “Об условиях локального перемешивания для аппроксимаций стохастических дифференциальных уравнений”, Теория вероятн. и ее примен., 57:1 (2012), 35–61; A. Yu. Veretennikov, S. A. Klokov, “On local mixing conditions for SDE approximations”, Theory Probab. Appl., 57:1 (2013), 110–131
Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze, “Bounds for characteristic functions in terms of quantiles and entropy”, Electron. Commun. Probab., 17:none (2012)
Erich Haeusler, Johan Segers, “Assessing Confidence Intervals for the Tail Index by Edgeworth Expansions for the Hill Estimator”, SSRN Journal, 2005