Equivalent Conditions of Complete Moment Convergence of Weighted Sums for ϕ-Mixing Sequence of Random Variables

DOI10.1080/03610926.2013.809116zbMath1317.60026OpenAlexW2007414148MaRDI QIDQ2876228

Mingle Guo

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/03610926.2013.809116

zbMATH Keywords

weighted sumscomplete moment convergence\(\varphi\)-mixing random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items

Complete moment convergence for negatively dependent sequences of random variables ⋮ Complete moment convergence for the dependent linear processes with random coefficients ⋮ Equivalent conditions of complete moment convergence for extended negatively dependent random variables

Cites Work

• Complete moment convergence of weighted sums for arrays of rowwise \(\varphi\)-mixing random variables
• Complete moment convergence of moving average processes under dependence assumptions
• Complete convergence and Cesàro summation for i.i.d. random variables
• Complete convergence and almost sure convergence of weighted sums of random variables
• Complete convergence for weighted sums of negatively associated random variables
• Limiting behaviour of moving average processes under \(\varphi \)-mixing assumption
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins