International Journal of Reliability and Applications
- Volume 7 Issue 2
- /
- Pages.127-140
- /
- 2006
- /
- 1598-0073(pISSN)
- /
- 2283-8914(eISSN)
Multivariate Mean Inactivity Time Functions with Reliability Applications
Abstract
AIn this paper we introduce and study a multivariate notions of mean inactivity time (MIT) functions. Basic properties of these functions are derived and their relationship to the multivariate conditional reversed hazard rate functions is studied. A partial ordering, called MIT ordering, of non-negative random vectors is introduced and its basic properties are presented. Its relationship to reversed hazard rate ordering is pointed out. Finally, using the MIT ordering, a bivariate and multivariate notions of IMIT (increasing mean inactivity time) class is introduced and studied.
Keywords
- Mean inactivity time;
- reversed hazard rate order;
- stochastic order;
- bivariate life classes;
- DRHR;
- IMIT