Отправить статью по E-mail The Rate of Convergence of the Distributions of Regular Statistics Constructed from Samples with Negatively Binomially Distributed Random Sizes to the Student Distribution
- Авторы: Gavrilenko S.V.1, Zubov V.N.1, Korolev V.Y.1,2
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Учреждения:
- Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems of RAS
- Выпуск: Том 220, № 6 (2017)
- Страницы: 701-713
- Раздел: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238916
- DOI: https://doi.org/10.1007/s10958-016-3213-3
- ID: 238916
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Аннотация
New estimates are obtained for the rate of convergence of the negative binomial distribution with parameters (r, p) to the gamma-distribution with parameters (r, r) when p → 0. The main result is a considerable improvement of convergence rate estimates for regular statistics constructed from samples with negatively binomially distributed random sizes to the Student distribution.
Об авторах
S. Gavrilenko
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Email: vkorolev@cs.msu.su
Россия, Moscow
V. Zubov
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Email: vkorolev@cs.msu.su
Россия, Moscow
V. Korolev
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics; Institute of Informatics Problems of RAS
Автор, ответственный за переписку.
Email: vkorolev@cs.msu.su
Россия, Moscow; Moscow
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