A strong consistency of a nonparametric estimate of entropy under random censorship

DOI10.1016/J.CRMA.2009.04.021zbMath1167.62410OpenAlexW2092655294MaRDI QIDQ1028093

Issam Elhattab, Salim Bouzebda

Publication date: 30 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.04.021

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Statistical aspects of information-theoretic topics (62B10)

Related Items (14)

Uniform in bandwidth consistency of nonparametric regression based on copula representation ⋮ Nonparametric recursive method for kernel-type function estimators for spatial data ⋮ Bandwidth selector for nonparametric recursive density estimation for spatial data defined by stochastic approximation method ⋮ A note on the strong consistency of nonparametric estimation of Shannon entropy in length-biased sampling ⋮ Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications ⋮ Nonparametric entropy estimation of conditional distribution under length-biased right censored sample ⋮ Uniform in bandwidth consistency of conditional \(U\)-statistics adaptive to intrinsic dimension in presence of censored data ⋮ Uniform consistency and uniform in bandwidth consistency for nonparametric regression estimates and conditional U-statistics involving functional data ⋮ Uniform-in-bandwidth consistency for kernel-type estimators of Shannon's entropy ⋮ New kernel-type estimator of Shanonn's entropy ⋮ Some uniform consistency results in the partially linear additive model components estimation ⋮ Nonparametric confidence intervals for the integral of a function of an unknown density ⋮ New Entropy Estimator with an Application to Test of Normality ⋮ A note on the adaptive estimation of the differential entropy by wavelet methods

Cites Work

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• On the strong limiting behavior of local functionals of empirical processes based upon censored data
• Nonparametric Estimation from Incomplete Observations
• Uniform in Bandwidth Estimation of Integral Functionals of the Density Function
• Nonparametric Estimation With Censored Data From A Distributtion With Nonincreasing Density
• A LIL type result for the product limit estimator
• Hazard analysis. I

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