Estimation of a two-dimensional distribution function under association

DOI10.1016/S0378-3758(01)00296-8zbMath1031.62027OpenAlexW1993792668WikidataQ57906700 ScholiaQ57906700MaRDI QIDQ1869132

Carla Henriques, Paulo Eduardo Oliveira

Publication date: 9 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00296-8

zbMATH Keywords

StationarityEmpirical processAssociationHistogram estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items (7)

On the convergence rate of fixed design regression estimators for negatively associated random variables ⋮ Exponential convergence rates for the kernel bivariate distribution function estimator under NSD assumption with application to hydrology data ⋮ On asymptotic behavior of \(U\)-statistics for associated random variables ⋮ U-statistics on associated random variables ⋮ Strong convergence rates for the estimation of a covariance operator for associated samples ⋮ Fixed design regression for negatively associated random fields ⋮ Convergence rates for the estimation of two-dimensional distribution functions under association and estimation of the covariance of the limit empirical process

Cites Work

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• Weak convergence for weighted empirical processes of dependent sequences
• Normal fluctuations and the FKG inequalities
• Weak convergence in \(L^p(0,1)\) of the uniform empirical process under dependence
• A Glivenko-Cantelli lemma and weak convergence for empirical processes of associated sequences
• Invariance principles for absolutely regular empirical processes
• Asymptotic normality of a smooth estimate of a random field distribution function under association
• Efficient Estimation of a Distribution Function under Quadrant Dependence
• Association of Random Variables, with Applications
• Goodness-of-fit tests on a circle
• A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes

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