Abstract
AbstractThe reversed aging intensity function is defined as the ratio of the instantaneous reversed hazard rate to the baseline value of the reversed hazard rate. It analyzes the aging property quantitatively, the higher the reversed aging intensity, the weaker the tendency of aging. In this paper, a family of generalized reversed aging intensity functions is introduced and studied. Those functions depend on a real parameter. If the parameter is positive they characterize uniquely the distribution functions of univariate positive absolutely continuous random variables, in the opposite case they characterize families of distributions. Furthermore, the generalized reversed aging intensity orders are defined and studied. Finally, several numerical examples are given.
Funder
Università degli Studi di Napoli Federico II
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Reference18 articles.
1. Barlow, R.E., Proschan, F.J.: Mathematical Theory of Reliability. Society for Industrial and Applied Mathematics, Philadelphia (1996)
2. Barlow, R.E., Zwet, W.R.: Asymptotic properties of isotonic estimators for the generalized failure rate function. Part I: strong consistency. Berkeley Univ. Calif. 31, 159–176 (1969)
3. Barlow, R.E., Zwet, W.R.: Asymptotic properties of isotonic estimators for the generalized failure rate function. Part II: asymptotic distributions. Berkeley Univ. Calif. 34, 69–110 (1969)
4. Bartoszewicz, J.: On a representation of weighted distributions. Stat. Probab. Lett. 79, 1690–1694 (2009)
5. Bhattacharjee, S., Nanda, A.K., Misra, S.K.: Reliability analysis using ageing intensity function. Stat. Probab. Lett. 83, 1364–1371 (2013)
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献