One purpose of this paper is to study the relationship of the dilation order (~dil) to two other stochastic orders: the mean residual life order (~ X ~<icx Y (the first implication holds under the assumption that at least one of the two underlying random variables satisfies some aging property). Thu
The Laplace order and ordering of residual lives
✍ Scribed by Félix Belzunce; Eva Ortega; José M. Ruiz
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 120 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
The purpose of this paper is to study new notions of stochastic comparisons and aging classes based on the Laplace transform order of residual lives. We give relationships to other stochastic orders and aging classes given previously. Finally we study some applications to shock models.
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