Preservation of ageing classes in deterioration models with independent increments
- 주제(키워드) wear process , ageing class , stochastic order , log-concavity (log-convexity)
- 등재 SCOPUS, SCIE
- 발행기관 SPRINGER INTERNATIONAL PUBLISHING AG
- 발행년도 2014
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000091651
- 본문언어 영어
- Published As http://dx.doi.org/10.1186/1029-242X-2014-200
초록/요약
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.
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