Almost sure convergence for non-stationary random sequences

DOI10.1016/j.spl.2008.11.005zbMath1159.60320OpenAlexW1997639355MaRDI QIDQ1012210

Zhongquan Tan, Zuo Xiang Peng

Publication date: 15 April 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.11.005

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (14)

The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences ⋮ An almost sure limit theorem for the maxima of smooth stationary Gaussian processes ⋮ On the almost sure limit theorem for the joint version of maxima and minima of non-stationary random fields ⋮ Almost sure limit theorems for the maxima of stochastic volatility models ⋮ Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences ⋮ Some asymptotic results on extremes of incomplete samples ⋮ Almost sure limit theorems for the maximum of a class of quasi-stationary sequences ⋮ Almost sure asymptotics for extremes of non-stationary Gaussian random fields ⋮ Almost sure convergence for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ Almost sure convergence for the maximum and the sum of nonstationary Gaussian sequences ⋮ On the almost sure convergence for the joint version of maxima and minima of stationary sequences ⋮ Almost sure central limit theorem for exceedance point processes of stationary sequences ⋮ Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On almost sure max-limit theorems
• A note on the almost sure central limit theorem
• Extremes and related properties of random sequences and processes
• An extension of the almost sure max-limit theorem
• Almost sure limit theorems for the maximum of stationary Gaussian sequences
• Almost sure versions of distributional limit theorems for certain order statistics.
• A universal result in almost sure central limit theory.
• Almost sure max-limits for nonstationary Gaussian sequence
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Almost Sure Convergence in Extreme Value Theory
• Extreme values of non-stationary random sequences

This page was built for publication: Almost sure convergence for non-stationary random sequences