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ON THE MEAN INACTIVITY TIME ORDERING WITH RELIABILITY APPLICATIONS

Published online by Cambridge University Press:  01 July 2004

M. Kayid  and
I. A. Ahmad
M. Kayid
Affiliation:
Department of Mathematics, Faculty of Education (Suez), Suez Canal University, Suez, Egypt
I. A. Ahmad
Affiliation:
Department of Statistics and Actuarial Science, University of Central Florida, Orlando, FL 32816-2370, E-mail: iahmad@mail.ucf.edu
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Abstract

The purpose of this article is to study several preservation properties of stochastic comparisons based on the mean inactivity time order under the reliability operations of convolution and mixture. Characterizations and relationships with the other well-known orders are given. Some examples of interest in reliability theory are also presented. Finally, testing in the increasing mean inactivity time class is discussed.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 3 , July 2004 , pp. 395 - 409
Copyright
© 2004 Cambridge University Press

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References

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