Hazard Rate Properties of a General Counting Process Stopped at an Independent Random Time-Reference-Cited by-同舟云学术

Hazard Rate Properties of a General Counting Process Stopped at an Independent Random Time

Published:2011-03 Issue:01 Volume:48 Page:56-67
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Badia F. G.

Abstract

In this work we provide sufficient conditions under which a general counting process stopped at a random time independent from the process belongs to the reliability decreasing reversed hazard rate (DRHR) or increasing failure rate (IFR) class. We also give some applications of these results in generalized renewal and trend renewal processes stopped at a random time.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference16 articles.

1. The Trend-Renewal Process for Statistical Analysis of Repairable Systems

2. Shock Models and Wear Processes

3. The Reversed Hazard Rate Function

Cited by 8 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. Quantifying the Inspection Paradox with Random Time;The American Statistician;2022-12-19

2. On a new stochastic model for cascading failures;Journal of Applied Probability;2020-11-23

3. Log-Convexity of Counting Processes Evaluated at a Random end of Observation Time with Applications to Queueing Models;Methodology and Computing in Applied Probability;2016-09-27

4. Negative ageing properties for counting processes arising in virtual age models;Applied Mathematical Modelling;2016-05

5. ANOTHER LOOK AT NONPARAMETRIC ESTIMATION FOR TREND RENEWAL PROCESSES;Journal of the Operations Research Society of Japan;2016