Relative Weak Compactness of Sums of Random Variables
- Авторлар: Golikova N.1, Kruglov V.2
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Мекемелер:
- Faculty of Physics and Mathematics
- Department of Statistics, Faculty of Computational Mathematics and Cybernetics
- Шығарылым: Том 39, № 3 (2018)
- Беттер: 331-339
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201787
- DOI: https://doi.org/10.1134/S1995080218030137
- ID: 201787
Дәйексөз келтіру
Аннотация
In this article sufficient conditions for relative weak compactness of sums centered by constants of pair-wise negatively associated randomvariables and for sums of squares of any random variables centered by their medians are given. These conditions become necessary and sufficient if random variables are independent. The conditions are inspired by classical conditions for weak convergence of sums of uniformly small random variables.
Авторлар туралы
N. Golikova
Faculty of Physics and Mathematics
Хат алмасуға жауапты Автор.
Email: nina.golikova@mail.ru
Ресей, ul. Radio 10a, Moscow, 105005
V. Kruglov
Department of Statistics, Faculty of Computational Mathematics and Cybernetics
Email: nina.golikova@mail.ru
Ресей, Moscow, 119992