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SOME RESULTS ABOUT MIT ORDER AND IMIT CLASS OF LIFE DISTRIBUTIONS

Published online by Cambridge University Press:  01 June 2006

Xiaohu Li  and
Maochao Xu
Xiaohu Li
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People's Republic of China, E-mail: [email protected]
Maochao Xu
Affiliation:
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People's Republic of China, E-mail: [email protected]
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Abstract

We investigate some new properties of mean inactivity time (MIT) order and increasing MIT (IMIT) class of life distributions. The preservation property of MIT order under increasing and concave transformations, reversed preservation properties of MIT order, and IMIT class of life distributions under the taking of maximum are developed. Based on the residual life at a random time and the excess lifetime in a renewal process, stochastic comparisons of both IMIT and decreasing mean residual life distributions are conducted as well.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 20 , Issue 3 , July 2006 , pp. 481 - 496
Copyright
© 2006 Cambridge University Press

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