On weak law of large numbers and Lp-convergence for weighted random variables
Year: 2025
Type: article
Abstract: In the present paper, we consider a sequence of the weighted random variables, which include the sequences of martingale differences, and establish the weak law of large numbers and the convergence inp L under some weaker conditions. Based on a general normalizing function that satisfies some specific conditions, we extend the weak law of large numbers for general random variables.
Source: Filomat
DOI: 10.2298/fil2505747g
Authors: Qi Gao, Huanhuan Ma, Yu Miao
Institution: Henan Normal University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412757411