TEST

, Volume 17, Issue 2, pp 297–310 | Cite as

Generalized orderings of excess lifetimes of renewal processes

  • Félix Belzunce
  • Asok K. Nanda
  • Eva-María Ortega
  • José M. Ruiz
Original Paper

Abstract

Several concepts of generalized orderings and generalized ageing classes have been considered in the literature (see Fagiuoli and Pellerey, 1993, Nav Res Logist 40: 829–842). They have been used in reliability, economics and actuarial sciences. These generalized notions provide a knowledge of the intrinsic structure of the ageing and ordering properties of random variables and have become an important tool in applied probability.

In this paper, we provide new results about generalized orderings of excess lifetimes at different times of a renewal process when the underlying distribution belongs to some generalized ageing class. We also derive some interpretations and give some discussions of these results.

Keywords

Excess lifetime Generalized orderings and ageing classes Renewal processes 

Mathematics Subject Classification (2000)

60E15 60K15 60K10 

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Copyright information

© Sociedad de Estadística e Investigación Operativa 2007

Authors and Affiliations

  • Félix Belzunce
    • 1
  • Asok K. Nanda
    • 2
  • Eva-María Ortega
    • 3
  • José M. Ruiz
    • 1
  1. 1.Departamento de Estadística e I.O., Facultad de MatemáticasUniversidad de MurciaEspinardo (Murcia)Spain
  2. 2.Department of MathematicsIndian Institute of Technology KharagpurKharagpurIndia
  3. 3.Centro de Investigación Operativa, Dep. Estadística, Matemática e InformáticaUniversidad Miguel HernándezOrihuela, AlicanteSpain

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