On moment convergence for some order statistics

On moment convergence for some order statistics

By exploring the uniform integrability of a sequence of some order statistics (OSs), we obtain the moment convergence conclusion of the sequence under some weak conditions even when the corresponding population of interest has no moment of any positive order. As an application, we embody the range o...

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Bibliographic Details
Main Authors: Jin-liang Wang, Chang-shou Deng, Jiang-feng Li
Format: Article
Language:English
Published: AIMS Press 2022-07-01
Series:AIMS Mathematics
Subjects:
convergence in distribution
convergence in probability
moment convergence
order statistic
uniform integrability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022938?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022938?viewType=HTML

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