Complete moment convergence and Lr convergence for asymptotically almost negatively associated random variables

DOI10.1080/03610926.2016.1235198zbMath1386.60111OpenAlexW2531827743MaRDI QIDQ4598623

Mengmei Xi, Junjie Lin, Ming Wang, Xu-Fei Tang, Xue-jun Wang

Publication date: 15 December 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2016.1235198

zbMATH Keywords

complete convergence\(L_r\) convergenceasymptotically almost negatively associated random variables, complete moment convergence

Mathematics Subject Classification ID

Strong limit theorems (60F15)

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L^p convergence and complete convergence for weighted sums of AANA random variables ⋮ Probability inequalities for sums of NSD random variables and applications ⋮ Asymptotic approximations of random ratio model based on AANA sequences ⋮ Complete moment convergence and \(L_q\) convergence for AANA random variables under sub-linear expectations ⋮ Complete f -moment convergence for weighted sums of asymptotically almost negatively associated random variables and its application in semiparametric regression models

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