Lp convergence and complete convergence for weighted sums of AANA random variables

DOI10.1080/03610926.2017.1397173OpenAlexW2775567960MaRDI QIDQ5076972

Z. Y. Cheng, Xin Deng, Mengmei Xi, Xue-jun Wang

Publication date: 17 May 2022

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

Full work available at URL: https://doi.org/10.1080/03610926.2017.1397173

zbMATH Keywords

complete convergenceweighted sums\(L^p\) convergenceAANA sequence

Mathematics Subject Classification ID

Statistics (62-XX) Strong limit theorems (60F15) (L^p)-limit theorems (60F25)

Related Items (5)

Asymptotic approximations of random ratio model based on AANA sequences ⋮ Moment convergence rate of estimators in partially linear models under AANA errors ⋮ Complete f -moment convergence for weighted sums of asymptotically almost negatively associated random variables and its application in semiparametric regression models ⋮ COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF AANA RANDOM VARIABLES AND ITS APPLICATION IN NONPARAMETRIC REGRESSION MODELS ⋮ Strong consistency of estimators in a partially linear model with asymptotically almost negatively associated errors

Cites Work

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• Laws of large numbers for Cesàro alpha-integrable random variables under dependence condition AANA or AQSI
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• The strong law of large numbers for weighted averages under dependence assumptions
• Complete moment convergence of weighted sums for processes under asymptotically almost negatively associated assumptions
• Strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
• Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables
• A note on complete convergence of weighted sums for array of rowwise AANA random variables
• Strong convergence for sequences of asymptotically almost negatively associated random variables
• COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF SEQUENCES OF AANA RANDOM VARIABLES
• Complete moment convergence and L_r convergence for asymptotically almost negatively associated random variables

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