Abstract
Let with Z(0) = 0 be a random process under investigation and N be a point process associated with Z. Both Z and N are defined on the same probability space. Let with R0 = 0 denote the consecutive positions of points of N on the half-line . In this paper we present sufficient conditions under which (Z, R) is a new better than used (NBU) process and give several examples of NBU processes satisfying these conditions. In particular we consider the processes in which N is a renewal and a general point process. The NBU property of some semi-Markov processes is also presented.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference11 articles.
1. General shock models associated with correlated renewal sequences
2. Theory of Maintained Systems: Distribution of Time to First System Failure
3. The effect of queue discipline on the capacity of queues with service time depending on waiting times;Buzacott;INFOR,1974
4. Almost sure comparisons of renewal processes and Poisson processes with application to reliability theory;Miller;Math. Operat. Res.,1979
5. Comparing Semi-Markov Processes
Cited by
22 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
1. Wear Processes;Wiley StatsRef: Statistics Reference Online;2015-09-16
2. Wear Processes;Wiley StatsRef: Statistics Reference Online;2014-09-29
3. Aging First‐Passage Times;Wiley StatsRef: Statistics Reference Online;2014-09-29
4. Wear Processes;Encyclopedia of Statistical Sciences;2006-08-15
5. On ageing properties of first-passage times of increasing Markov processes;Advances in Applied Probability;2002-03