Recently, Bartoszewicz (1999, Statist. Probab. Lett. 42, 207-212), has given characterizations of stochastic orders based on the Laplace transform and obtained moment inequalities for ordered distributions. In this note, we give some relations between these orders and inÿnitely divisible distributio
Characterizations of stochastic orders based on ratios of Laplace transforms
✍ Scribed by Jarosław
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 81 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0167-7152
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✦ Synopsis
Characterizations of stochastic orders based on ratios of Laplace transforms are derived from characterizations of the hazard rate and reversed hazard rate orders. Inequalities for negative moments of ordered random variables are obtained as corollaries.
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