On B-statistical uniform nonintegrability of a sequence of random variables-Reference-Cited by-同舟云学术

On B-statistical uniform nonintegrability of a sequence of random variables

Published:2023 Issue:20 Volume:37 Page:6741-6750
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Chen Mengru¹,Li Guangying²,Wang Zhongzhi¹,Zhang Yongjin¹

Affiliation:

1. School of Micro-electronics and Data Science, Anhui University of Technology, Maanshan, P.R. China

2. School of Business, Anhui University of Technology, Maanshan, P.R. China

Abstract

In this paper, we introduce a notion of B-statistical uniform nonintegrability with respect to A (B-UNI(c) w.r.t. A, in short), which is weaker than UNI(c) w.r.t. A (see [3]). We establish the de La Vall?e Poussin criterion for B-UNI(c) w.r.t. A, which extends Theorem 2.1 of Chandra et al. (2021) [3]. Moreover, we also give a necessary condition for the sequence of random variables {Xk, k ? N} to be B-UNI(c) w.r.t. A.

Publisher

National Library of Serbia

Reference5 articles.

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