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FURTHER RESULTS INVOLVING THE MIT ORDER AND THE IMIT CLASS

Published online by Cambridge University Press:  22 June 2005

I. A. Ahmad ,
M. Kayid  and
F. Pellerey
I. A. Ahmad
Affiliation:
Department of Statistics and Actuarial Science, University of Central Florida, Orlando, Florida 32816-2370
M. Kayid
Affiliation:
Department of Mathematics, Faculty of Education (Suez), Suez Canal University, Suez, Egypt
F. Pellerey
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, 10129 Torino, Italy, E-mail: franco.pellerey@polito.it
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Abstract

The purpose of this article is to study several preservation properties of the mean inactivity time order under the reliability operations of convolution, mixture, and shock models. In that context, the increasing mean inactivity time class of lifetime distributions is characterized by means of right spread order and increasing convex order. Some applications in reliability theory are described. Finally, a new test of such a class is discussed.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 3 , July 2005 , pp. 377 - 395
Copyright
© 2005 Cambridge University Press

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