The almost sure local central limit theorem for products of partial sums under negative association

DOI10.1186/s13660-018-1875-8zbMath1498.60121OpenAlexW2896919810WikidataQ58581247 ScholiaQ58581247MaRDI QIDQ824824

Qunying Wu, Yuanying Jiang

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1875-8

zbMATH Keywords

negative associationalmost sure local central limit theoremproducts of partial sumsalmost sure global central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (2)

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 of negatively associated sequences

Cites Work

• The almost sure local central limit theorem for the product of partial sums
• The almost sure local central limit theorem for the negatively associated sequences
• On the almost sure central limit theorem for self-normalized products of partial sums of \(\phi \)-mixing random variables
• Strong laws for weighted sums of NA random variables
• On complete convergence for weighted sums of arrays of dependent random variables
• Asymptotic distribution for products of sums under dependence
• Strong limit theorems for weighted sums of negatively associated random variables
• An almost sure central limit theorem for products of sums of partial sums under association
• An almost sure limit theorem for the maxima of strongly dependent Gaussian sequences
• The asymptotic distribution of sums of records
• On almost sure local and global central limit theorems
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• Weak and almost sure convergence for products of sums of associated random variables
• On almost sure limit theorems for positively dependent random variables
• An almost sure central limit theorem for products of sums under association
• Almost sure local central limit theorem for sample range
• On Complete Convergence for Arrays of Row-Wise Negatively Associated Random Variables
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• CONVERGENCE OF WEIGHTED SUMS FOR DEPENDENT RANDOM VARIABLES
• Almost sure central limit theorem for self-normalized partial sums of negatively associated random variables
• Almost sure central limit theorems for m-dependent random variables
• An Extension of the Almost Sure Central Limit Theorem for Products of Sums Under Association
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The almost sure local central limit theorem for products of partial sums under negative association