Ordering Residual Lives Using the Moment Generating Transform | ||
| The Egyptian Statistical Journal | ||
| Article 2, Volume 47, Issue 2, December 2003, Pages 128-140 PDF (5.38 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2003.313782 | ||
| Author | ||
| S. M. El-Arishy* | ||
| 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. | ||
| Keywords | ||
| Moment Generating Function Order; Coherent Systems; Shock Models; Ageing Classes | ||
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