Relative stochastic orders of weighted frailty models. Issue 5 (2nd September 2020)

• Record Type: Journal Article
• Authors: He, Xu; Xie, Hongmei
• Is Part Of: Statistics. Volume 54:Issue 5(2020)
• Page Start: 989
• Page End: 1004
• Publication Date: 2020-09-02
• Subjects: Hazard rate function -- mean residual life function -- relative hazard rate order -- relative mean residual life order -- weighted frailty model; Primary 60E15 -- Secondary 62N05 -- 60K10; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2020.1828419
• Languages: English
• ISSNs: 0233-1888

Abstract

ABSTRACT: In this paper, relative stochastic comparisons of weighted frailty models with respect to relative hazard rate and relative mean residual life orders are considered. Some closure properties of the model in two relative stochastic orders sense are presented. Under some appropriate assumptions, we show how the variation of the frailty variable and the variation of the baseline variable translate into these two relative stochastic orders between the overall population variables.