Stochastic Orderings Of Discrete-Time Processes And Discrete Record Values

Authors:
Félix Belzunce;Eva-María Ortega;José M. Ruiz
Affiliations:
Departamento Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo, Murcia, Spain, E-mail: belzunce@um.es;Departamento Estadística, Matemáticas e Informática, Centro de Investigación Operativa, Universidad Miguel Hernández, Campus de Orihuela, 03312 Orihuela, Alicante, Spain, ...;Departamento Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo, Murcia, Spain, E-mail: jmruizgo@um.es
Venue:
Probability in the Engineering and Informational Sciences
Year:
2006

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Abstract

Recently, Pellerey, Shaked, and Zinn [6] introduced a discrete-time analogue of the nonhomogeneous Poisson process. The purpose of this article is to provide some results for stochastic comparisons of the epoch times and the interepoch times of those processes. Also, we show the relationships between these processes and discrete record values and we provide several results for discrete weak record values.