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EXPONENTIALITY WITHIN CLASS ℒ AND STOCHASTIC EQUIVALENCE OF LAPLACE ORDERED SURVIVAL TIMES

Published online by Cambridge University Press:  01 April 1999

M. C. Bhattacharjee
M. C. Bhattacharjee
Affiliation:
Center for Applied Mathematics & Statistics, Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, New Jersey 07102
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Abstract

We obtain necessary and sufficient moment conditions for exponentiality among all class ℒ aging distributions. This result, which solves an open problem, is derived as a consequence of the answer to a more general question of investigating conditions for stochastic equivalence of Laplace ordered nonnegative r.v.'s and its ramifications.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 2 , April 1999 , pp. 201 - 207
Copyright
© 1999 Cambridge University Press

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