Asymptotic optimality of the product limit estimator
From MaRDI portal
Publication:1166864
DOI10.1214/aos/1176345800zbMath0489.62036OpenAlexW2050858046MaRDI QIDQ1166864
Publication date: 1982
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176345800
convolutioncensored dataasymptotic optimalitynonparametric maximum likelihood estimatorproduct limit estimatorregular estimationasymptotic minimaxHajek-Beran type representation
Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
Related Items
A characterization of limiting distributions of estimators in an autoregressive process, Asymptotic efficiency of estimation in the partial Koziol-Green model, Non-parametric maximum likelihood estimation of censored regression models, Semiparametric Models with Covariates for Lifetime Data under a General Censoring Scheme with an Application to Contingent Valuation, An unbiased estimator for the survival function of censored data, Information bounds for nonparametric estimators of \(L\)-functionals and survival functionals under censored data, An infinite dimensional convolution theorem with applications to random censoring and missing data models, Consistency of maximum likelihood estimators for certain nonparametric families, in particular: Mixtures, Large deviations and estimation in infinite-dimensional models, Local asymptotic normality for randomly censored models with applications to rank tests, Asymptotic theorems for estimating the distribution function under random truncation, Efficiency of the maximum partial likelihood estimator for nested case control sampling, Regression \(M\)-estimators with doubly censored data, Multiple imputations and the missing censoring indicator model, Asymptotically efficient estimation under semi-parametric random censorship models, Differentiablity of point process models and asymptotic efficiency of differentiable functionals, Martingale approach to nonparametric estimation of lifetime distribution under different censoring mechanisms, Semi-parametric Random Censorship Models, Survival Analysis in Clinical Trials: Past Developments and Future Directions, Nonparametric density estimation from censored data, Survival analysis for the missing censoring indicator model using kernel density estimation techniques, Non-parametric hazard function estimation using the Kaplan–Meier estimator, Efficient estimation from right-censored data when failure indicators are missing at random, LIMIT THEOREMS FOR ASYMPTOTICALLY MINIMAX ESTIMATION OF A DISTRIBUTION WITH INCREASING FAILURE RATE UNDER A RANDOM MIXED CENSORSHIP/TRUNCATION MODEL, Revisit Kaplan-Meier estimator in estimating QAL survival distributions, Endpoints and survival analysis for successful osseointegration of dental implants, Efficiency bounds for semiparametric models with singular score functions