Inference for the Component and System Lifetime Distribution of a k-unit Parallel System Based on System Data

Pradhan, Biswabrata and Roy, Soumya and Anis, Md. Zafar (2014) Inference for the Component and System Lifetime Distribution of a k-unit Parallel System Based on System Data. In: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 43 (1). pp. 45-61.

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Abstract

In this paper, we consider the inference for the component and system lifetime distribution of a k-unit parallel system with independent components based on system data. The components are assumed to have identical Weibull distribution. We obtain the maximum likelihood estimates of the unknown parameters based on system data. The Fisher information matrix has been derived. We propose -expectation tolerance interval and -content -level tolerance interval for the life distribution of the system. Performance of the estimators and tolerance intervals is investigated via simulation study. A simulated dataset is analyzed for illustration.

Item Type:	Journal Article
Publication:	COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Publisher:	TAYLOR & FRANCIS INC
Additional Information:	Copyright of this article is belongs to TAYLOR & FRANCIS INC
Keywords:	beta-content gamma-level tolerance interval; beta-expectation tolerance interval; Fisher information matrix; Maximum likelihood estimator
Department/Centre:	Division of Interdisciplinary Sciences > Management Studies
Date Deposited:	30 Sep 2013 04:51
Last Modified:	30 Sep 2013 04:51
URI:	http://eprints.iisc.ac.in/id/eprint/47337

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