Asymptotically optimal estimation of smooth functionals for interval censoring, case 2

DOI10.1214/aos/1018031211zbMath0954.62034OpenAlexW1771673646MaRDI QIDQ1970484

Piet Groeneboom, Ronald B. Geskus

Publication date: 21 March 2000

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1018031211

zbMATH Keywords

asymptotic normalityempirical processesasymptotic efficiencynonparametric maximum likelihood estimator

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Linear integral equations (45A05)

Related Items

Nonparametric estimation for doubly censored failure time data, Testing the proportional odds model for interval-censored data, The bivariate current status model, A three-state disease model with interval-censored data: Estimation and applications to AIDS and cancer, Nonparametric (smoothed) likelihood and integral equations, Feature Screening for Interval-Valued Response with Application to Study Association between Posted Salary and Required Skills, Global rates of convergence of the MLE for multivariate interval censoring, Estimators for the interval censoring problem, Regression analysis of clustered interval-censored failure time data with linear transformation models in the presence of informative cluster size, Rejoinder, Distribution of global measures of deviation between the empirical distribution function and its concave majorant, Conditional kernel density estimation for some incomplete data models, Weighted empirical likelihood in some two-sample semiparametric models with various types of censored data, Estimation of the Association for Bivariate Interval‐censored Failure Time Data, Linear transformation models for interval-censored data, Asymptotically optimal estimation of smooth functionals for interval censoring, part 1, Asymptotics for non-parametric likelihood estimation with doubly censored multivariate failure times, Nonparametric survival function estimation for data subject to interval censoring case 2, On Nonparametric Maximum Likelihood Estimations of Multivariate Distribution Function Based on Interval-Censored Data, Toward Computerized Efficient Estimation in Infinite-Dimensional Models, Testing equality of functions under monotonicity constraints, A new proof of a theorem on M-matrices, Goodness-of-fit test based on information criterion for interval censored data

Cites Work

• On differentiable functionals
• Weak convergence and empirical processes. With applications to statistics
• An Empirical Distribution Function for Sampling with Incomplete Information
• Rates of convergence for the maximum likelihood estimator in mixture models
• Asymptotically optimal estimation of smooth functionals for interval censoring, part 2
• Asymptotically optimal estimation of smooth functionals for interval censoring, part 1
• Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1
• Convergence of stochastic processes
• Linear integral equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item