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

被引：0

作者：

Chen, Mengru ^{[1
]}

Li, Guangying ^{[2
]}

Wang, Zhongzhi ^{[1
]}

Zhang, Yongjin ^{[1
]}

机构：

[1] Anhui Univ Technol, Sch Microelect & Data Sci, Maanshan 243000, Peoples R China

[2] Anhui Univ Technol, Sch Business, Maanshan 243000, Peoples R China

来源：

FILOMAT | 2023年 / 37卷 / 20期

关键词：

Statistical uniform nonintegrability; Sequence of random variables; de La Vall?e Poussin criterion;

D O I：

10.2298/FIL2320741C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Vallee 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 E N) to be B-UNI(c) w.r.t. A.

引用

页码：6741 / 6750

页数：10

共 50 条

[1] On uniform nonintegrability for a sequence of random variables
Chandra, Tapas K.
Hu, Tien-Chung
Rosalsky, Andrew
[J]. STATISTICS & PROBABILITY LETTERS, 2016, 116 : 27 - 37
[2] Uniform nonintegrability of random variables
Hu, Zechun
Peng, Xue
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2018, 13 (01) : 41 - 53
[3] Uniform nonintegrability of random variables
Zechun Hu
Xue Peng
[J]. Frontiers of Mathematics in China, 2018, 13 : 41 - 53
[4] On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense
Cabrera, Manuel Ordonez
Rosalsky, Andrew
Unver, Mehmet
Volodin, Andrei
[J]. TEST, 2021, 30 (01) : 83 - 102
[5] On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense
Manuel Ordóñez Cabrera
Andrew Rosalsky
Mehmet Ünver
Andrei Volodin
[J]. TEST, 2021, 30 : 83 - 102
[6] Correction to: On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense
Manuel Ordóñez Cabrera
Andrew Rosalsky
Mehmet Ünver
Andrei Volodin
[J]. TEST, 2021, 30 : 1076 - 1077
[7] On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense (vol 30, pg 83, 2021)
Ordonez Cabrera, Manuel
Rosalsky, Andrew
Unver, Mehmet
Volodin, Andrei
[J]. TEST, 2021, 30 (04) : 1076 - 1077
[8] B-STATISTICAL APPROXIMATION FOR PERIODIC FUNCTIONS
Dirik, Fadime
Demirci, Kamil
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (03) : 321 - 332
[9] B-STATISTICAL A-SUMMABILITY IN CONSERVATIVE APPROXIMATION
Cardenas-Morales, Daniel
Garrancho, Pedro
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (03): : 923 - 936
[10] Statistical convergence of a sequence of random variables and limit theorems
Sanjoy Ghosal
[J]. Applications of Mathematics, 2013, 58 : 423 - 437

← 1 2 3 4 5 →