ABSTRACT
This study deals with random variables equipped with Archimedean copulas and following scale proportional hazards (SPHs) or revered hazards models. We build the usual stochastic order both between minimums of two SPHs samples with Archimedean survival copulas and between maximums from two scale proportional reversed hazards (PRHs) samples with Archimedean copulas. The hazard rate order between minimums of independent SPHs samples and the reversed hazard rate order between maximums of independent scale PRHs samples are both derived. Also we have a discussion on the dispersive order between minimums from samples with a common Archimedean survival copula. The present results either generalize or improve some related ones in the recent literature.
2000 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors would like to thank the two anonymous reviewers for their valuable comments, which help improve the presentation of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Rui Fang http://orcid.org/0000-0001-6569-5462