Strong convergence of pairwise NQD random sequences

DOI10.1016/j.jmaa.2008.02.053zbMath1141.60012OpenAlexW2059063682MaRDI QIDQ929551

Rui Li, Wei-guo Yang

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.053

zbMATH Keywords

strong convergencepairwise NQD random variablesCR-inequalitygeneralized three series theorem

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (18)

On the complete convergence for pairwise negatively quadrant dependent random variables ⋮ Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications ⋮ Unnamed Item ⋮ The consistency for estimator of nonparametric regression model based on NOD errors ⋮ On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application ⋮ On the convergence for PNQD sequences with general moment conditions ⋮ Almost everywhere convergence for sequences of pairwise NQD random variables ⋮ On convergence for sequences of pairwise negatively quadrant dependent random variables. ⋮ On the strong convergence and complete convergence for pairwise NQD random variables ⋮ Strong convergence for weighted sums of arrays of rowwise pairwise NQD random variables ⋮ Sufficient and necessary conditions of complete convergence for weighted sums of PNQD random variables ⋮ The consistency of estimator under fixed design regression model with NQD errors ⋮ Complete convergence of the non-identically distributed pairwise NQD random sequences ⋮ On complete moment convergence for arrays of rowwise pairwise negatively quadrant dependent random variables ⋮ Some Limit Theorems for Arrays of Rowwise Pairwise Negatively Quadratic Dependent Random Variables ⋮ Strong Limit Theorems for Pairwise NQD Random Variables ⋮ Complete convergence and the strong laws of large numbers for pairwise NQD random variables ⋮ Further study of complete convergence for weighted sums of PNQD random variables

Cites Work

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• Strong limit theorems for arbitrary stochastic sequences
• A note on the almost sure convergence of sums of negatively dependent random variables
• A note on Chung's strong law of large numbers
• Some Concepts of Dependence

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