Nonparametric Estimation With Censored Data From A Distributtion With Nonincreasing Density

DOI10.1080/03610928708829354zbMath0642.62024OpenAlexW2069165647MaRDI QIDQ3783371

Benjamin B. Winter

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03610928708829354

zbMATH Keywords

asymptotic propertiesKaplan-Meier estimatorcensored datastrong consistencyproduct limit estimatorcompeting risksleast concave majorantlife testingdecreasing densityuniform strong consistencyhistogram-like estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Reliability and life testing (62N05)

Related Items (5)

The Robustness of Several Estimators of the Survivorship Function with Randomly Censored Data ⋮ A Bayesian approach for quantile and response probability estimation with applications to reliability ⋮ A strong consistency of a nonparametric estimate of entropy under random censorship ⋮ A product‐limit estimator for use with length‐biased data ⋮ Nonparametric estimation of nonincreasing densities and use of data from renewal processes

Cites Work

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• A combinatoric approach to the Kaplan-Meier estimator
• A heavy censoring limit theorem for the product limit estimator
• Strong consistency properties of nonparametric estimators for randomly censored data. I: The product-limit estimator
• Strong uniform consistency for nonparametric survival curve estimators from randomly censored data
• Strong consistency properties of nonparametric estimators for randomly censored data. II: Estimation of density and failure rate
• Estimating dependent life lengths, with applications to the theory of competing risks
• Testing with replacement and the product limit estimator
• On minimum distance estimators for unimodal densities
• Strong approximations of some biometric estimates under random censorship
• The rate of strong uniform consistency for the product-limit estimator
• Maximum likelihood estimation of un1modal and decreasing densities based on arbitrarily right-censored data
• Maximum Likelihood Estimation of a Unimodal Density Function
• Maximum Likelihood Estimation of a Unimodal Density, II

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