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On the complete convergence for arrays of rowwise extended negatively dependent random variables

Andrei Volodin|Dehua Qiu|Pingyan Chen|Rita Giuliano Antonini
대한수학회 (The Korean Mathematical Society)|2013.03|대한수학회지 (Journal of the KMS)|제50권 제2호|pp. 379-392

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참고문헌

키워드

weighted sumscomplete convergenceextended negatively dependent random variables
주제분류수학

초록

A general result for the complete convergence of arrays of rowwise extended negatively dependent random variables is derived. As its applications eight corollaries for complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables are given, which extend the corresponding known results for independent case.

Abstract

A general result for the complete convergence of arrays of rowwise extended negatively dependent random variables is derived. As its applications eight corollaries for complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables are given, which extend the corresponding known results for independent case.

참고문헌 (20)

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관련 논문AI추천

Complete convergence and complete moment convergence theorems for weighted sums of arrays of rowwise extended negatively dependent random variablesHaiwu Huang, Qingxia Zhang대한수학회 · 대한수학회보2019 · 제56권 제4호On the complete convergence for weighted sums of dependent random variables under condition of weighted integrabilityJong-Il Baek, Mi-Hwa Ko, Tae-Sung Kim대한수학회 · 대한수학회지2008 · 제45권 제4호On the convergence of series for rowwise sums of negatively superadditive dependent random variablesHaiwu Huang, Qingxia Zhang대한수학회 · 대한수학회보2020 · 제57권 제3호On the strong law of large numbers for weighted sums of arrays of rowwise negatively dependent random variables백종일, 서혜영, 최정열, Gil-Hwan Lee대한수학회 · 대한수학회지2009 · 제46권 제4호On complete convergence for arrays of rowwise independent random elements성수학, Manuel Ord\'o\~nez Cabrera, Tien-Chung Hu대한수학회 · 대한수학회지2007 · 제44권 제2호Weak laws of large numbers for arrays under a condition of uniform integrability성수학, Andrei Volodin, Supranee Lisawadi대한수학회 · 대한수학회지2008 · 제45권 제1호

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