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
收藏
页码：6741 / 6750
页数：10
相关论文
共 50 条
  • [21] OBTAINING A NORMAL SEQUENCE WITH PRESCRIBED COVARIANCES FROM AN INDEPENDENT UNIFORM DISTRIBUTION OF RANDOM VARIABLES
    NAKAMURA, M
    [J]. IEEE TRANSACTIONS ON SYSTEMS SCIENCE AND CYBERNETICS, 1968, SSC4 (02): : 191 - &
  • [22] Statistical distance for random variables
    Falie, D.
    [J]. OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2010, 4 (07): : 1028 - 1032
  • [23] Sum of squares of uniform random variables
    Weissman, Ishay
    [J]. STATISTICS & PROBABILITY LETTERS, 2017, 129 : 147 - 154
  • [24] On the clustering of independent uniform random variables
    Csörgo, S
    Wu, WB
    [J]. RANDOM STRUCTURES & ALGORITHMS, 2004, 25 (04) : 396 - 420
  • [25] SUMS OF STANDARD UNIFORM RANDOM VARIABLES
    Mao, Tiantian
    Wang, Bin
    Wang, Ruodu
    [J]. JOURNAL OF APPLIED PROBABILITY, 2019, 56 (03) : 918 - 936
  • [26] A note on the sum of uniform random variables
    Buonocore, Aniello
    Pirozzi, Enrica
    Caputo, Luigia
    [J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (19) : 2092 - 2097
  • [27] ON UNIFORM DISTRIBUTION OF SEQUENCES OF RANDOM VARIABLES
    HOLEWIJN, PJ
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1969, 14 (02): : 89 - &
  • [28] A SEQUENCE OF RANDOM-VARIABLES
    TAKACS, L
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1985, 92 (07): : 515 - 515
  • [29] Some characterizations involving uniform and powers of uniform random variables
    Arnold, Barry C.
    Castillo, Enrique
    Maria Sarabia, Jose
    [J]. STATISTICS, 2008, 42 (06) : 527 - 534
  • [30] A Sequence Space and Uniform (A, φ)-Statistical Convergence
    Savas, Ekrem
    [J]. MATHEMATICS AND COMPUTING, 2015, 139 : 481 - 493
12345