Limit theorems for the ratio of the Kaplan-Meier estimator or the Altshuler estimator to the true survival function

DOI10.1007/BF02582030zbMath0816.62038MaRDI QIDQ4323163

Zu Kang Zheng

Publication date: 3 July 1995

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

survival functionKaplan-Meier estimatorAltshuler estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20)

Related Items

Keyfitz entropy: investigating some mathematical properties and its application for estimating survival function in life table ⋮ Some large sample results for a class of functionals of Kaplan-Meier estimator ⋮ Discrepancy with respect to kaplan-meier estimator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional laws of the iterated logarithm for the product-limit estimator of a distribution function under random censorship or truncation
• Large sample behaviour of the product-limit estimator on the whole line
• On Chernoff-Savage statistics and sequential rank tests
• Linear bounds on the empirical distribution function
• Large sample theory for a Bayesian nonparametric survival curve estimator based on censored samples
• Kolmogorov's law of the iterated logarithm for Banach space valued random variables
• The product-limit estimator and the bootstrap: Some asymptotic representations
• The Chung-Smirnov law for the product-limit estimator under random censorship
• Theory for the measurement of competing risks in animal experiments
• Nonparametric Estimation from Incomplete Observations
• Strong approximations of some biometric estimates under random censorship
• A LIL type result for the product limit estimator
• Limit theorems for the ratio of the empirical distribution function to the true distribution function
• A note on the LIL type result for the product limit estimator