On Consistencies of the Profile Likelihood Estimators and their Derivatives of the Distribution Function in Doubly Censored Data

DOI10.1080/03610926.2011.581781zbMath1280.62040OpenAlexW1986849022MaRDI QIDQ2859313

Tomoyuki Sugimoto

Publication date: 7 November 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2011.581781

zbMATH Keywords

strong consistencysemiparametric profile likelihoodscore functionsconstrained self-consistent estimatorsFisher functions

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Parametric inference under constraints (62F30) Censored data models (62N01)

Related Items (2)

Asymptotic distribution of the nonparametric distribution estimator based on a martingale approach in doubly censored data ⋮ Bayesian estimation of a proportional hazards model for double-censored durations

Cites Work

• A Wald-type variance estimation for the nonparametric distribution estimators for doubly censored data
• Asymptotic properties of self-consistent estimators based on doubly censored data
• Properties of estimators of baseline hazard functions in a semiparametric cure model
• Weak convergence of a self-consistent estimator of the survival function with doubly censored data
• A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency
• Strong consistency of a nonparametric estimator of the survival function with doubly censored data
• Algorithms for computing self-consistent and maximum likelihood estimators with doubly censored data
• Semiparametric likelihood ratio inference
• Non-parametric hypothesis testing and confidence intervals with doubly censored data

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