On stochastic comparisons for population age and remaining lifetime
- 주제(키워드) Equilibrium distribution , Random initial age , Stable population , Stationary population , Stochastic ordering
- 등재 SCIE, SCOPUS
- 발행기관 Springer New York LLC
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000125459
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00362-016-0759-6
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
First, we consider items that are incepted into operation having already a random (initial) age and define the corresponding remaining lifetime. We show that these random variables are identically distributed when the age distribution is equal to the equilibrium distribution of the renewal theory. Then we consider real populations of items that were incepted into operation (were born) at different instants of time and obtain some useful inequalities between the population age and the remaining lifetime using reasoning similar to that employed in population studies. We also discuss the aging properties of populations using different stochastic orders. © 2016 Springer-Verlag Berlin Heidelberg
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