Almost sure central limit theorem for self-normalized partial sums of \(\rho^{-}\)-mixing sequences

DOI10.1016/j.spl.2017.04.023zbMath1386.60112OpenAlexW2612585674MaRDI QIDQ1687186

Peng Zhang

Publication date: 22 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.spl.2017.04.023

zbMATH Keywords

almost sure central limit theoremself-normalized partial sums\(\rho^{-}\)-mixing sequences

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (4)

An improved result in almost sure local central limit theorem for the partial sums ⋮ Almost sure local central limit theorem for the product of some partial sums with optimized weight ⋮ Almost sure central limit theorem for non-stationary Markov chains ⋮ Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Almost sure central limit theorem for self-normalized partial sums and maxima
• An almost sure central limit theorem for the weight function sequences of NA random variables
• A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law
• Almost sure limit theorems for stable distributions
• A note on the almost sure central limit theorem
• An almost sure central limit theorem for self-normalized partial sums
• On the convergence of generalized moments in almost sure central limit theorem
• A note on the almost sure central limit theorem for weakly dependent random variables
• Negative association of random variables, with applications
• A universal result in almost sure central limit theory.
• Convergence rates in the strong laws of asymptotically negatively associated random fields
• Critical behavior in almost sure central limit theory
• Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
• Almost sure central limit theorem for self-normalized products of partial sums of negatively associated sequences
• On Strong Mixing Conditions for Stationary Gaussian Processes
• Self-Normalized Processes
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Central limit theorems for asymptotically negatively associated random fields
• A functional central limit theorem for asymptotically negatively dependent random fields

This page was built for publication: Almost sure central limit theorem for self-normalized partial sums of \(\rho^{-}\)-mixing sequences