Bounds for the hazard rate and the reversed hazard rate of the convolution of dependent random lifetimes-Reference-Cited by-同舟云学术

Bounds for the hazard rate and the reversed hazard rate of the convolution of dependent random lifetimes

Published:2019-12 Issue:4 Volume:56 Page:1033-1043
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Belzunce Félix,Martínez-Riquelme Carolina

Abstract

AbstractAn upper bound for the hazard rate function of a convolution of not necessarily independent random lifetimes is provided, which generalizes a recent result established for independent random lifetimes. Similar results are considered for the reversed hazard rate function. Applications to parametric and semiparametric models are also given.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference18 articles.

1. Lai, C. D. and Xie, M. (2006). Stochastic Ageing and Dependence for Reliability. Springer, New York.

2. On the reversed hazard rate

3. Continuous Multivariate Distributions

4. Properties of Probability Distributions with Monotone Hazard Rate

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