The almost sure local central limit theorem for the negatively associated sequences

DOI10.1155/2013/656257zbMath1276.60025OpenAlexW2085746612WikidataQ59003594 ScholiaQ59003594MaRDI QIDQ364460

Qunying Wu, Yuanying Jiang

Publication date: 9 September 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/656257

zbMATH Keywords

almost sure central limit theoremnegatively associated random variablessums of negatively associated random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (4)

An improved result in almost sure local central limit theorem for the partial sums ⋮ The almost sure local central limit theorem for products of partial sums under negative association ⋮ Almost sure local central limit theorem for the product of some partial sums with optimized weight ⋮ Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The almost sure local central limit theorem for the product of partial sums
• An almost sure central limit theorem for the weight function sequences of NA random variables
• On almost sure local and global central limit theorems
• A note on the almost sure central limit theorem for weakly dependent random variables
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• A universal result in almost sure central limit theory.
• On almost sure limit theorems for positively dependent random variables
• A law of the iterated logarithm of partial sums for NA random variables
• Some of my favorite results with Endre Csáki and Pál Révész -- a survey
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem

This page was built for publication: The almost sure local central limit theorem for the negatively associated sequences