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Point and Interval Estimation for the Lifetime Distribution of a k -Unit Parallel System Based on Progressively Type-II Censored Data

Point and Interval Estimation for the Lifetime Distribution of a k -Unit Parallel System Based on... Abstract This work considers point and interval estimation for the lifetime distribution of a k -unit parallel system assuming exponential distribution for the components lifetime. The parameter of the distribution is estimated by the maximum likelihood method based on samples which are progressively Type-II censored. The expression for Fisher's information is derived. Approximate confidence intervals are constructed based on the asymptotic distribution of the maximum likelihood estimator and log-transformed maximum likelihood estimator. The confidence levels of the approximate confidence intervals are examined via simulation. They turn out to be quite satisfactory. An approximate β -expectation tolerance interval for the life distribution is also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Point and Interval Estimation for the Lifetime Distribution of a k -Unit Parallel System Based on Progressively Type-II Censored Data

Economic Quality Control , Volume 22 (2) – Oct 1, 2007

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Publisher
de Gruyter
Copyright
Copyright © 2007 by the
ISSN
1869-6147
eISSN
1869-6147
DOI
10.1515/EQC.2007.175
Publisher site
See Article on Publisher Site

Abstract

Abstract This work considers point and interval estimation for the lifetime distribution of a k -unit parallel system assuming exponential distribution for the components lifetime. The parameter of the distribution is estimated by the maximum likelihood method based on samples which are progressively Type-II censored. The expression for Fisher's information is derived. Approximate confidence intervals are constructed based on the asymptotic distribution of the maximum likelihood estimator and log-transformed maximum likelihood estimator. The confidence levels of the approximate confidence intervals are examined via simulation. They turn out to be quite satisfactory. An approximate β -expectation tolerance interval for the life distribution is also discussed.

Journal

Economic Quality Controlde Gruyter

Published: Oct 1, 2007

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