Faculty Publications
Closure And Monotonicity Properties Of Nonhomogeneous Poisson Processes And Record Values
Document Type
Article
Journal/Book/Conference Title
Probability in the Engineering and Informational Sciences
Volume
2
Issue
4
First Page
475
Last Page
484
Abstract
Interconnections between occurrence times of nonhomogeneous Poisson processes, record values, minimal repair times, and the relevation transform are explained. A number of properties of the distributions of occurrence times and interoccurrence times of a nonhomogeneous Poisson process are proved when the mean-value function of the process is convex, starshaped, or superadditive. The same results hold for upper record values of independently identically distributed random variables from IFR, IFRA, and NBU distributions. © 1988, Cambridge University Press. All rights reserved.
Original Publication Date
1-1-1988
DOI of published version
10.1017/S0269964800000188
Recommended Citation
Gupta, Ramesh C., "Closure And Monotonicity Properties Of Nonhomogeneous Poisson Processes And Record Values" (1988). Faculty Publications. 4672.
https://scholarworks.uni.edu/facpub/4672
