Universidad de Oviedo, Facultad de Ciencias, Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática. Calvo Sotelo, s/n E-33007 Oviedo, Spain. e-mail: firstname.lastname@example.org
A STOCHASTIC ORDERING FOR RANDOM VARIABLES WITH APPLICATIONS
Article first published online: 7 DEC 2009
© 2009 Australian Statistical Publishing Association Inc.
Australian & New Zealand Journal of Statistics
Volume 52, Issue 1, pages 1–16, March 2010
How to Cite
López-Díaz, M. (2010), A STOCHASTIC ORDERING FOR RANDOM VARIABLES WITH APPLICATIONS. Australian & New Zealand Journal of Statistics, 52: 1–16. doi: 10.1111/j.1467-842X.2009.00561.x
- Issue published online: 17 FEB 2010
- Article first published online: 7 DEC 2009
- integral stochastic ordering;
- maximal generator;
- theophylline bioavailability;
- univariate stochastic order
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.