Preservation of ageing classes in deterioration models with independent increments

Carmen Sangüesa, Francisco German Badía, Ji Hwan Cha

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1 Scopus citations

Abstract

In the present paper we consider ageing properties in a deterioration model in which the stochastic process measuring deterioration is a process with independent increments. Preservation of increasing and decreasing failure rates, as well as decreasing reversed hazard rate, is considered. We also take into account the preservation of log-concave and log-convex densities. Our main results are based on technical results concerning preservation of log-concave and log-convex functions by positive linear operators, and they include the study of stochastic ordering properties among the random variables in the process.

Original languageEnglish
Article number200
JournalJournal of Inequalities and Applications
Volume2014
Issue number1
DOIs
StatePublished - May 2014

Keywords

  • Ageing class
  • Log-concavity (log-convexity)
  • Stochastic order
  • Wear process

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