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RELIABILITY STUDIES OF BIVARIATE BIRNBAUM–SAUNDERS DISTRIBUTION

Published online by Cambridge University Press:  20 January 2015

Ramesh C. Gupta
Ramesh C. Gupta*
Affiliation:
Department of Mathematics and Statistics, University of Maine, Orono, Maine 04469-5752, USA E-mail: rcgupta@maine.edu
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Abstract

In this paper, we study the bivariate Birnbaum–Saunders (BVBS) distribution from a reliability point of view. The monotonicity of the hazard rates of the univariate as well as the conditional distributions is discussed. Clayton's association measure is obtained in terms of the hazard gradient and its value in the case of the BVBS distribution is derived. The probability distributions, in the case of series and parallel systems, are derived and the monotonicity of the failure rate, in the case of series system, is discussed.

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Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 29 , Issue 2 , April 2015 , pp. 265 - 276
Copyright
Copyright © Cambridge University Press 2015 

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