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关于随机变量Marcinkiewicz-Zygmund型SLLN的完全收敛性

IF 1 4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-09-20 DOI:10.1007/s11766-021-3816-4
Anna Kuczmaszewska, Ji-gao Yan
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引用次数: 4

摘要

考虑了满足某些覆盖条件的随机变量的Baum-Katz定理的推广。因此，我们得到了许多相关结构的结果，如END， ϱ*-mix， ϱ -mix和φ-mix等。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables

We consider a generalization of Baum-Katz theorem for random variables satisfying some cover conditions. Consequently, we get the results for many dependent structures, such as END, ϱ*-mixing, ϱ−-mixing and φ-mixing, etc.

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来源期刊
Applied Mathematics-A Journal of Chinese Universities Series B
Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-
自引率
10.00%
发文量
33
期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.
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