Lifetesting and estimation with arbitrary distribution function

DOI10.1080/02331888908802174zbMath0697.62039OpenAlexW1970026148MaRDI QIDQ3473968

Michael J. Phelan

Publication date: 1989

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/1813/8591

zbMATH Keywords

consistencyproduct-limit estimatorrenewal testinglong time horizoncensored lifetimesgeneral functional central limit theorems for semimartingaleslife-distributionPoisson type counting processsurvival testing with repetitions

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Non-Markovian processes: estimation (62M09) Reliability and life testing (62N05)

Cites Work

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• Large sample behaviour of the product-limit estimator on the whole line
• Testing with replacement and the product limit estimator
• A martingale approach to the Poisson convergence of simple point processes
• Estimation of the transition distributions of a Markov renewal process
• Nonparametric estimation based on censored observations of a Markov renewal process
• Central limit theorems for local martingales
• Martingales: Recent Developments, Results and Applications
• On a problem of necessary and sufficient conditions in the functional central limit theorem for local martingales
• Multivariate point processes: predictable projection, Radon-Nikodym derivatives, representation of martingales
• Weak convergence of stochastic integrals related to counting processes

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