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AN AGING CONCEPT BASED ON MAJORIZATION

Published online by Cambridge University Press:  07 January 2003

J.M. Fernández-Ponce  and
A. Suárez-Llorens
J.M. Fernández-Ponce
Affiliation:
Department of Statistics, University of Sevilla, Sevilla, Spain, E-mail: [email protected]
A. Suárez-Llorens
Affiliation:
Department of Statistics, University of Cádiz, Cádiz, Spain, E-mail: [email protected]
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Abstract

In this article, we introduce a new dispersion order weaker than the classic dispersion order discussed by Lewis and Thompson (1981). We study the equivalence of this order with the majorization order under the assumption of unimodality. Finally, we use this equivalence to characterize the IFR aging notion for unimodal distributions by means of the notion of decreasing in randomness.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 17 , Issue 1 , January 2003 , pp. 107 - 117
Copyright
© 2003 Cambridge University Press

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