Strong convergence for weighted sums of negatively associated arrays

DOI10.1007/s11401-008-0016-yzbMath1213.60062OpenAlexW2095244325MaRDI QIDQ2430334

Han-Ying Liang, Jing-Jing Zhang

Publication date: 6 April 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-008-0016-y

zbMATH Keywords

tail probabilityweighted sumnegatively associated random variable

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items

Moment inequalities for \(m\)-negatively associated random variables and their applications ⋮ Convergence rates of wavelet estimators in semiparametric regression models under NA samples ⋮ Some convergence properties for the maximum of partial sums of \(m\)-negatively associated random variables

Cites Work

• Unnamed Item
• Unnamed Item
• A general law of precise asymptotics for the complete moment convergence
• A note on the almost sure convergence of sums of negatively dependent random variables
• Complete convergence for arrays
• Complete convergence and Cesàro summation for i.i.d. random variables
• Asymptotic normality of random fields of positively or negatively associated processes
• Complete convergence and almost sure convergence of weighted sums of random variables
• A general Hsu-Robbins-Erdős type estimate of tail probabilities of sums of independent identically distributed random variables
• Baum-Katz laws for certain weighted sums of independent and identically distributed random variables
• Complete convergence for weighted sums of negatively associated random variables
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• The law of iterated logarithm for negatively associated random variables
• Complete convergence for weighted sums of NA sequences
• Negative association of random variables, with applications
• Weighted sums for i. i. d. random variables with relatively thin tails
• Statistical inference for partially linear regression models with measurement errors
• Asymptotic normality of LS estimate in simple linear EV regression model
• WEIGHTED SUMS OF NEGATIVELY ASSOCIATED RANDOM VARIABLES
• On the convergence of moving average processes under dependent conditions
• Convergence Rates in the Law of Large Numbers