Strong consistency under the Koziol-Green model

DOI10.1016/0167-7152(92)90064-CzbMath0749.62029OpenAlexW2027464321MaRDI QIDQ1195578

Winfried Stute

Publication date: 14 December 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90064-c

zbMATH Keywords

consistencynonparametric maximum likelihood estimatorKaplan-Meier estimatelifetime distributionKoziol-Green proportional hazards modelcensoring distributionsmall sample simulation study

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items (17)

Strong consistency of the jackknife estimate of variance and covariance for Koziol-Green integrals ⋮ The central limit theorem under semiparametric random censorship models ⋮ Nonlinear wavelet density estimation under the Koziol–Green model ⋮ Maximum likelihood estimator for cumulative incidence functions under proportionality con\-straint ⋮ Strong consistency under proportional censorship when covariables are present ⋮ Asymptotic normality under the koziol-green model ⋮ Testing the Koziol--Green model against monotone conditional odds for censoring. ⋮ The strong law under semiparametric random censorship models ⋮ Strong consistency of presmoothed Kaplan–Meier integrals when covariables are present ⋮ The Paradoxical Nature of The Proportional Hazards Model of Random Censorship ⋮ On the Fisher information in randomly censored data ⋮ A Bayesian adaptive design for two-stage clinical trials with survival data ⋮ Distributional convergence under proportional censorship when covariables are present ⋮ Ancillarity properties of generalized residuals with applications in failure time models ⋮ Special issue: Papers from the 7th Eugene Lukacs conference on Mathematical statistics and probability theory. Bowling Green State Univ., Bowling Green, OH, USA, April 25--27, 1997 ⋮ Properties of test statistics applied to residuals in failure time models ⋮ A Comparison of Survival Function Estimators in the Koziol–Green Model

Cites Work

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• A note on bootstrapping the sample median
• Maximum likelihood estimation of a survival function under the Koziol- Green proportional hazards model
• A note on the uniform consistency of the Kaplan-Meier estimator
• A strong law for linear functions of order statistics
• Large sample theory for an estimator of the mean survival time from censored samples
• A large sample study of the life table and product limit estimates under random censorship
• Nonparametric Estimation from Incomplete Observations
• A LIL type result for the product limit estimator
• The rate of strong uniform consistency for the product-limit estimator
• On a generalization of the Glivenko-Cantelli theorem

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