Convergence rates for the estimation of two-dimensional distribution functions under association and estimation of the covariance of the limit empirical process

DOI10.1080/10485250500466119zbMath1092.62054OpenAlexW1997065535WikidataQ57906684 ScholiaQ57906684MaRDI QIDQ5478895

Paulo Eduardo Oliveira, Carla Henriques

Publication date: 13 July 2006

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/8982

zbMATH Keywords

stationarityhistogram estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (2)

Strong convergence rates for the estimation of a covariance operator for associated samples ⋮ An exponential inequality for associated variables

Cites Work

• Normal fluctuations and the FKG inequalities
• Weak convergence in \(L^p(0,1)\) of the uniform empirical process under dependence
• Weak convergence for empirical processes of associated sequences
• Estimation of a two-dimensional distribution function under association
• Asymptotic normality of a smooth estimate of a random field distribution function under association
• Exponential inequality for associated random variables
• A general method of density estimation for associated random variables
• Association of Random Variables, with Applications
• Unnamed Item

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