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On sufficient conditions for the comparison in the excess wealth order and spacings

Published online by Cambridge University Press:  24 March 2016

Félix Belzunce ,
Carolina Martínez-Riquelme ,
José M. Ruiz  and
Miguel A. Sordo
Félix Belzunce*
Affiliation:
Facultad de Matemáticas, Campus de Espinardo, Universidad de Murcia, 30100 Espinardo, Murcia, Spain.
Carolina Martínez-Riquelme
Affiliation:
Facultad de Matemáticas, Campus de Espinardo, Universidad de Murcia, 30100 Espinardo, Murcia, Spain. Email address: [email protected]
José M. Ruiz
Affiliation:
Facultad de Matemáticas, Campus de Espinardo, Universidad de Murcia, 30100 Espinardo, Murcia, Spain. Email address: [email protected]
Miguel A. Sordo
Affiliation:
Departamento Estadística e Investigación Operativa, Universidad de Cádiz, Facultad de Ciencias Económicas y Empresariales, 11002 Cádiz, Spain. Email address: [email protected]
*
** Email address: [email protected]
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Abstract

The purpose of this paper is twofold. On the one hand, we provide sufficient conditions for the excess wealth order. These conditions are based on properties of the quantile functions which are useful when the dispersive order does not hold. On the other hand, we study sufficient conditions for the comparison in the increasing convex order of spacings of generalized order statistics. These results will be combined to show how we can provide comparisons of quantities of interest in reliability and insurance.

Keywords

Excess wealth ordergeneralized order statisticsspacings
Type
Research Papers
Information
Journal of Applied Probability , Volume 53 , Issue 1 , March 2016 , pp. 33 - 46
Copyright
Copyright © Applied Probability Trust 2016 

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