Мақаланы E-mail арқылы жіберу A Generalization of the Wang–Ahmad Inequality
- Авторлар: Gabdullin R.A.1, Makarenko V.1, Shevtsova I.G.2,1,3
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Мекемелер:
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- School of Science, Hangzhou Dianzi University
- Institute of Informatics Problems of Federal Research Center “Computer Science and Control”, Russian Academy of Sciences
- Шығарылым: Том 237, № 5 (2019)
- Беттер: 646-651
- Бөлім: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242419
- DOI: https://doi.org/10.1007/s10958-019-04190-4
- ID: 242419
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Аннотация
By introducing a truncation parameter, we generalize the Ahmad–Wang inequality (2016) which provides an estimate of the accuracy of the normal approximation to distribution of a sum of independent random variables in terms of weighted absolute values of truncated third-order moments and tails of the second-order moments of random summands. The obtained estimate also generalizes the celebrated inequalities due to Berry (1941), Esseen (1942, 1969), Katz (1963), and Petrov (1965).
Авторлар туралы
R. Gabdullin
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Email: ishevtsova@cs.msu.ru
Ресей, Moscow
V.A. Makarenko
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Email: ishevtsova@cs.msu.ru
Ресей, Moscow
I. Shevtsova
School of Science, Hangzhou Dianzi University; Faculty of Computational Mathematics and Cybernetics, Moscow State University; Institute of Informatics Problems of Federal Research Center “Computer Science and Control”, Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: ishevtsova@cs.msu.ru
ҚХР, Hangzhou; Moscow; Moscow
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