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The new better than used failure rate class of life distribution

Published online by Cambridge University Press:  01 July 2016

A. M. Abouammoh  and
A. N. Ahmed
A. M. Abouammoh*
Affiliation:
King Saud University
A. N. Ahmed*
Affiliation:
King Saud University
*
∗Postal address: Department of Statistics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.
∗Postal address: Department of Statistics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.
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Abstract

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A new concept of ageing distribution, namely new better than used in failure rate (NBUFR), is introduced. Different properties of the NBUFR class and its dual class are presented. Its relations to other classes of life distributions are investigated. Finally, NBUFR survival under shock models is discussed.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 20 , Issue 1 , March 1988 , pp. 237 - 240
Copyright
Copyright © Applied Probability Trust 1988 

References

Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing. To Begin With, Silver Spring, MD.Google Scholar
Bryson, M. C. and Siddiqui, M. M. (1969) Some criteria for aging. J. Amer. Statist. Assoc. 23, 1472–1483.CrossRefGoogle Scholar
Esary, J. D., Marshall, A. W. and Proschan, F. (1973) Shock models and wear processes. Ann. Prob. 1, 627–649.CrossRefGoogle Scholar
Klefsjö, B. (1981) HNBUE survivals under some shock models. Scand. J. Statist. 8, 39–47.Google Scholar
Loh, W.-Y. (1984) A new generalization of the class of NBU distributions. IEEE Trans. Reliability 33, 419–422.Google Scholar