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SOME RESULTS ABOUT MIT ORDER AND IMIT CLASS OF LIFE DISTRIBUTIONS
- Source :
- Probability in the Engineering and Informational Sciences. 20:481-496
- Publication Year :
- 2006
- Publisher :
- Cambridge University Press (CUP), 2006.
-
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.
Details
- ISSN :
- 14698951 and 02699648
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- Probability in the Engineering and Informational Sciences
- Accession number :
- edsair.doi...........459eb1793b1da4e29a06e6b03c5fb233