Stochastic orders based on ratios of Laplace transforms

Stochastic orders based on ratios of Laplace transforms

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Article ID: iaor1998913
Country: United Kingdom
Volume: 34
Issue: 2
Start Page Number: 404
End Page Number: 419
Publication Date: Jun 1997
Journal: Journal of Applied Probability
Authors: ,
Abstract:

The purpose of this paper is to study two notions of stochastic comparisons of non-negative random variables via ratios that are determined by their Laplace transforms. Some interpretations of the new orders are given, and various properties of them are derived. The relationships to other stochastic orders are also studied. Finally, some applications in reliability theory are described.

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