Multivariate hazard rates and stochastic ordering

Citation
Shaked, Moshe et Shanthikumar, J. George, Multivariate hazard rates and stochastic ordering, Advances in applied probability , 19(1), 1987, pp. 123-137
ISSN journal
00018678
Volume
19
Issue
1
Year of publication
1987
Pages
123 - 137
Database
ACNP
SICI code
Abstract
Properties of the conditional hazard rates of X1, · ··, Xn and Y1, · ··, Yn, which imply (X1, · ··, Xn) (Y1, · ··, Yn), are found. These are used to find conditions on the hazard rates of T = (T1, · ··, Tn) which ensure that T has the MIHR | property of Arjas (1981a) and the .weakened by failure. property of Arjas and Norros (1984). Applications for load-sharing model and multivariate imperfect repair are given.