Improved maximum likelihood estimation for component reliabilities with Miyakawa-Usher-Hodgson-Guess' estimators under censored search for the cause of failure
type: Item
instance of: scholarly article
title: Improved maximum likelihood estimation for component reliabilities with Miyakawa-Usher-Hodgson-Guess' estimators under censored search for the cause of failure
zbMATH Open document ID: 0808.62091
DOI: 10.1016/0167-7152(94)90062-0
author: Tommaso Gastaldi
published in: Statistics \& Probability Letters
publication date: 1995-03-20T00:00:00Z
review text: This paper discusses a method to improve the estimator of failure rates with incomplete (`masked') data in life tests for multi-component systems. After describing the general model with masked data, the author presents a procedure, which improves the accuracy of the estimator of the reliabilities of components. Furthermore, sufficient conditions for the Usher-Hodgson's estimators, a generalization of Miyakawa's MLE, to be the MLEs, and that Miyakawa-Usher-Hodgson-Guess' estimators are inconsistent in the Guess' model are given.
reviewed by: Katsuji Uosaki
Mathematics Subject Classification ID: 62N05
zbMATH DE Number: 571666
zbMATH Keywords: incomplete data
zbMATH Keywords: estimator of failure rates
zbMATH Keywords: life tests
zbMATH Keywords: multi-component systems
zbMATH Keywords: masked data
zbMATH Keywords: Usher-Hodgson's estimators
zbMATH Keywords: generalization of Miyakawa's MLE
MaRDI profile type: Publication
full work available at URL: 0167-7152(94)90062-0
OpenAlex ID: W2074266026
cites work: Estimating system and component reliabilities under partial information on cause of failure
cites work: Q5561580
cites work: Maximum likelihood analysis of component reliability using masked system life-test data
cites work: Note on the Consistency of the Maximum Likelihood Estimate
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description: scientific article; zbMATH DE number 571666