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A note on the component lifetime estimation of a multistate monotone system through the system lifetime

Published online by Cambridge University Press:  01 July 2016

Vanderlei Costa Bueno
Vanderlei Costa Bueno*
Affiliation:
Universidade de São Paulo
*
Postal Address: Instituto de Matemática e Estatística da Universidade de São Paulo, Caixa Postal 20570 (Ag. Iguatemi), São Paulo, Brasil.
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Abstract

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In this paper we consider the observed lifetime of a multistate monotone system and ‘the critical lower set' which causes the system deterioration. Then, under suitable conditions, we identify the component lifetime distribution using a Newton–Kantorovic iterative procedure as in Meilijson (1981).

Keywords

CRITICAL LOWER SETDETERIORATING SYSTEM
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 20 , Issue 3 , September 1988 , pp. 686 - 689
Copyright
Copyright © Applied Probability Trust 1988 

Footnotes

Supported in part by CNPq–Brasil.

References

Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing: Probability Models. To begin with; Silver Spring, MD.Google Scholar
Barlow, R. E. and Wu, A. S. (1978) Coherent systems with multistate components. Math. Operat. Res. 3, 275–281.Google Scholar
Block, H. W. and Savits, T. H. (1982) A decomposition for multistate monotone systems. J. Appl. Prob. 19, 391–402.Google Scholar
Meilijson, I. (1981) Estimation of the lifetime distribution of the parts from the autopsy statistics of the machine. J. Appl. Prob. 18, 829–838.Google Scholar