On semiparametric random censorship models

DOI10.1016/S0378-3758(97)00091-8zbMath0927.62101MaRDI QIDQ1298702

Gerhard Dikta

Publication date: 13 December 1999

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

zbMATH Keywords

functional central limit theoremsmaximum likelihood estimatorscensored data

Mathematics Subject Classification ID

Point estimation (62F10) Censored data models (62N01) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (51)

Semiparametric censorship model with covariates ⋮ Bootstrap likelihood ratio confidence bands for survival functions under random censorship and its semiparametric extension ⋮ Semi-parametric survival function estimators deduced from an identifying Volterra type integral equation ⋮ A comparison of presmoothing methods in the estimation of transition probabilities ⋮ The central limit theorem under semiparametric random censorship models ⋮ The multiple imputations based Kaplan-Meier estimator ⋮ Weak representation of the cumulative hazard function under semiparametric random censorship models ⋮ Asymptotically efficient estimation of a survival function in the missing censoring indicator model ⋮ Logrank-type tests with presmoothing ⋮ Statistical inference for right-censored data with nonignorable missing censoring indicators ⋮ Semiparametric random censorship models for survival data with long-term survivors ⋮ Multiple imputations and the missing censoring indicator model ⋮ Model assisted Cox regression ⋮ Asymptotically efficient estimation under semi-parametric random censorship models ⋮ Nonparametric estimation for survival data with censoring indicators missing at random ⋮ Model-based likelihood ratio confidence intervals for survival functions ⋮ Hazard function estimation with cause-of-death data missing at random ⋮ Model-based confidence bands for survival functions ⋮ Presmoothing the Aalen-Johansen estimator in the illness-death model ⋮ Semi-parametric Random Censorship Models ⋮ Semiparametric estimation based on parametric modeling of the cause-specific hazard ratios in competing risks ⋮ Asymptotic-based bandwidth selection for the presmoothed density estimator with censored data ⋮ Two-sample location-scale estimation from semiparametric random censorship models ⋮ The strong law under semiparametric random censorship models ⋮ Nonparametric estimation of the conditional distribution function in a semiparametric censorship model ⋮ Flexible Modeling in the Koziol-Green Model by a Copula Function ⋮ Presmoothed estimation of the density function with truncated and censored data ⋮ Semiparametric left truncation and right censorship models with missing censoring indicators ⋮ Presmoothed Kaplan–Meier and Nelson–Aalen estimators ⋮ Strong consistency of presmoothed Kaplan–Meier integrals when covariables are present ⋮ The missing censoring indicator model and the smoothed bootstrap ⋮ Nonparametric estimation of the survival function for ordered multivariate failure time data: A comparative study ⋮ Doubly robust semiparametric estimation for the missing censoring indicator model ⋮ Inverse censoring weighted median regression ⋮ Presmoothing the transition probabilities in the illness-death model ⋮ Semiparametric simultaneous confidence bands for the difference of survival functions ⋮ A kernel-assisted imputation estimating method for the additive hazards model with missing censoring indicator ⋮ Survival analysis for the missing censoring indicator model using kernel density estimation techniques ⋮ Nonparametric estimation of distribution function under right random censoring based on presmoothed relative-risk function ⋮ Hazard function estimation from homogeneous right censored data with missing censoring indicators ⋮ The strong law under a semiparametric model for truncated and censored data ⋮ Resampling Methods for Testing a Semiparametric Random Censorship Model ⋮ Comparison of presmoothing methods in kernel density estimation under censoring ⋮ Probability density estimation for survival data with censoring indicators missing at random ⋮ Linear regression analysis of survival data with missing censoring indicators ⋮ A semiparametric estimator of the bivariate distribution function for censored gap times ⋮ A semiparametric model for truncated and censored data ⋮ Presmoothed Estimation with Left-Truncated and Right-Censored Data ⋮ Weighted local polynomial estimations of a non-parametric function with censoring indicators missing at random and their applications ⋮ Chi-squared goodness-of-fit theory under proportional censorship ⋮ Asymptotic representation of presmoothed Kaplan-Meier integrals with covariates in a semiparametric censorship model

Cites Work

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• Maximum likelihood estimation of a survival function under the Koziol- Green proportional hazards model
• Strong consistency of the MLE under random censoring
• Long run proportional hazards models of random censorship
• The strong law under random censorship
• A large sample study of the life table and product limit estimates under random censorship
• \(U\)-statistic processes: A martingale approach
• Nonparametric Estimation from Incomplete Observations

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