Precise asymptotics for products of sums and \(U\)-statistics

DOI10.1214/11-BJPS146zbMath1319.60062MaRDI QIDQ1930641

Zhongquan Tan

Publication date: 11 January 2013

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjps/1350394627

zbMATH Keywords

\(U\)-statisticsprecise asymptoticsproduct of partial sums

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (1)

A central limit theorem for incomplete U-statistics over triangular arrays

Cites Work

• Unnamed Item
• Weak convergence of products of sums of independent and non-identically distributed random variables
• The asymptotic distribution of sums of records
• A general law of precise asymptotics for the counting process of record times
• Limit distributions for products of sums.
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Asymptotics for products of sums and \(U\)-statistics
• Precise asymptotics in the law of the iterated logarithm.
• A note on asymptotic distribution of products of sums
• A note on the invariance principle of the product of sums of random variables
• A note on the almost sure limit theorem for the product of partial sums
• Asymptotics for products of independent sums with an application to Wishart determinants
• Precise asymptotics for record times and the associated counting process.
• Approximation Theorems of Mathematical Statistics
• A supplement to the strong law of large numbers
• Convergence Rates in the Law of Large Numbers
• Convergence Rates for the Law of the Iterated Logarithm

This page was built for publication: Precise asymptotics for products of sums and \(U\)-statistics