Ordering Residual Lives Using the Moment Generating Transform

Document Type : Original Article

Author

Dep.of Mathematics , Faculty of Science, Al-Azhar University, Egypt

Abstract

This paper presents new notions of stochastic comparisons and ageing classes based on the moment generating function order. The relationships to other stochastic orders and ageing classes are given. Some preservation properties are presented and some applications to coherent systems and shock models are also studied.
 

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