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A STOCHASTIC ORDERING FOR RANDOM VARIABLES WITH APPLICATIONS

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Summary

A new univariate stochastic ordering is introduced. Some characterization results for such an ordering are stated. It is proved that the ordering is an integral stochastic ordering, obtaining a maximal generator. By means of this generator, the main properties of the ordering are deduced. A method for introducing univariate stochastic orderings, suggested by the new ordering, is analysed. Relationships with other stochastic orderings are also developed. To conclude, an example of an application of the new ordering to the field of medicine is proposed.
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Keywords: integral stochastic ordering; maximal generator; theophylline bioavailability; univariate stochastic order

Document Type: Research Article

Publication date: March 1, 2010

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