Geodesic
On B-statistical uniform nonintegrability of a sequence of random variables
Filomat, Tome 37 (2023) no. 20, p. 6741

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DOI

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´ee 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.
DOI : 10.2298/FIL2320741C
Classification : 60F15, 60F05
Keywords: Statistical uniform nonintegrability, Sequence of random variables, de La Vallée Poussin criterion 
Mengru Chen; Guangying Li; Zhongzhi Wang; Yongjin Zhang. On B-statistical uniform nonintegrability of a sequence of random variables. Filomat, Tome 37 (2023) no. 20, p. 6741 . doi: 10.2298/FIL2320741C
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     title = {On {B-statistical} uniform nonintegrability of a sequence of random variables},
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