Law of the logarithm for density and hazard rate estimation for censored data

DOI10.1006/JMVA.1994.1027zbMath0795.62044OpenAlexW1976432806MaRDI QIDQ1328355

Xiaojing Xiang

Publication date: 18 September 1994

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1994.1027

zbMATH Keywords

kernel density estimatoroptimal bandwidthshazard functionKaplan-Meier estimatorcensored datarandom censorshipstrong uniform consistencystrong Gaussian approximationlaw of the logarithmoscillation modulushazard rate estimators

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

Related Items (11)

Functional limit laws for the increments of Kaplan-Meier product-limit processes and applications ⋮ A new bandwidth selector in hazard estimation ⋮ Online estimation of hazard rate under random censoring ⋮ Multivariate hazard rates under random censorship ⋮ Parametrically guided nonparametric density and hazard estimation with censored data ⋮ A compact law of the iterated logarithm for online estimator of hazard rate under random censoring ⋮ Asymptotic normality of wavelet density estimator under censored dependent observations ⋮ Hazard function estimation from homogeneous right censored data with missing censoring indicators ⋮ A Berry-Esseen type bound in kernel density estimation for strong mixing censored samples ⋮ Empirical likelihood confidence intervals for hazard and density functions under right censor\-ship ⋮ Rate of strong consistency for nonparametric estimators based on twice censored data

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