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Reliability Studies of Bivariate Distributions with Pareto Conditionals

✍ Scribed by Ramesh C. Gupta

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
101 KB
Volume
76
Category
Article
ISSN
0047-259X

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✦ Synopsis

In this paper we study Arnold's (1987, Statist. Probab. Lett. 5, 263 266) class of bivariate distributions with Pareto conditionals from a reliability point of view. Failure rates and mean residual life function of the marginal distributions and their monotonic properties are studied. The hazard components and their properties are investigated and their relationships with some measures of dependence are established. Finally, the failure rate of the minimum of the two components is examined and its monotonicity is investigated. Some of the results presented here are general and would be useful in studying the dependence structure in other classes of bivariate distributions.

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