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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4586

Title: Multivariate Mean Inactivity Time Functions with Reliability Applications
Authors: Kayid, M.
Keywords: Mean inactivity time
Reversed hazard rate order
Stochastic orde
Bivariate life classe
DRH
IMIT
Issue Date: 2006
Publisher: King Saud University
Citation: International Journal of Reliability and Applications : Vol. (7), No. 2, pp. 125-139
Abstract: In 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.
URI: http://hdl.handle.net/123456789/4586
Appears in Collections:King Saud University Initial Collection

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