Мақаланы E-mail арқылы жіберу The Rate of Convergence of the Distributions of Regular Statistics Constructed from Samples with Negatively Binomially Distributed Random Sizes to the Student Distribution
- Авторлар: Gavrilenko S.V.1, Zubov V.N.1, Korolev V.Y.1,2
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Мекемелер:
- Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems of RAS
- Шығарылым: Том 220, № 6 (2017)
- Беттер: 701-713
- Бөлім: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238916
- DOI: https://doi.org/10.1007/s10958-016-3213-3
- ID: 238916
Дәйексөз келтіру
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Рұқсат берілді
Тек жазылушылар үшін
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.
Авторлар туралы
S. Gavrilenko
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Email: vkorolev@cs.msu.su
Ресей, Moscow
V. Zubov
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Email: vkorolev@cs.msu.su
Ресей, Moscow
V. Korolev
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics; Institute of Informatics Problems of RAS
Хат алмасуға жауапты Автор.
Email: vkorolev@cs.msu.su
Ресей, Moscow; Moscow
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