On \(m\)-dependence and Edgeworth expansions

DOI10.1007/BF00773600zbMath0802.62019MaRDI QIDQ1336551

Wei-Liem Loh

Publication date: 12 December 1994

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Edgeworth expansionnecessary and sufficient conditionU-statistickernel of degree twom-dependent shiftsum of m-dependent random variables

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Cites Work

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• An Edgeworth expansion for U-statistics based on samples from finite populations
• On asymptotic normality for M-dependent U-statistics
• An Edgeworth expansion for U-statistics
• Edgeworth expansions and smoothness
• Convergence rates for U-statistics and related statistics
• On the Berry-Esseen theorem for U-statistics
• The Berry-Esseen theorem for U-statistics
• The Edgeworth expansion for U-statistics of degree two
• Edgeworth expansions in nonparametric statistics
• Non-Uniform Estimates and Asymptotic Expansions of the Remainder in the Central Limit Theorem form-Dependent Random Variables
• Some Remarks on Asymptotic Expansions in the Central Limit Theorem form-Dependent Random Variables
• On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
• A method for the derivation of limit theorems for sums of m-dependent random variables
• Asymptotic expansions for sums of weakly dependent random vectors
• A Class of Statistics with Asymptotically Normal Distribution

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