On comparisons of population and subpopulations in frailty models

Gaofeng Da; Weiyong Ding; Xiaohu Li

doi:10.1080/03610926.2019.1708401

On comparisons of population and subpopulations in frailty models

Gaofeng Da, Weiyong Ding, Xiaohu Li

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This paper studies stochastic comparisons between a population and subpopulations in both multiplicative and additive frailty models. The comparisons between a population and its baseline in stochastic ordering are conducted as a special case. We build equivalent characterizations of some common stochastic orders between a population and a subpopulation, in terms of the frailty of the subpopulation and the first two moments of frailty variable. Some examples and applications are discussed as well.

Original language	English
Pages (from-to)	3698-3711
Number of pages	14
Journal	Communications in Statistics - Theory and Methods
Volume	49
Issue number	15
DOIs	https://doi.org/10.1080/03610926.2019.1708401
State	Published - 2 Aug 2020

Keywords

60K10
Primary 90B25
Secondary 60E15
Stochastic order
additive frailty
mixture
proportional hazard rates
reverse hazard rate

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10.1080/03610926.2019.1708401

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abstract = "This paper studies stochastic comparisons between a population and subpopulations in both multiplicative and additive frailty models. The comparisons between a population and its baseline in stochastic ordering are conducted as a special case. We build equivalent characterizations of some common stochastic orders between a population and a subpopulation, in terms of the frailty of the subpopulation and the first two moments of frailty variable. Some examples and applications are discussed as well.",

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N2 - This paper studies stochastic comparisons between a population and subpopulations in both multiplicative and additive frailty models. The comparisons between a population and its baseline in stochastic ordering are conducted as a special case. We build equivalent characterizations of some common stochastic orders between a population and a subpopulation, in terms of the frailty of the subpopulation and the first two moments of frailty variable. Some examples and applications are discussed as well.

AB - This paper studies stochastic comparisons between a population and subpopulations in both multiplicative and additive frailty models. The comparisons between a population and its baseline in stochastic ordering are conducted as a special case. We build equivalent characterizations of some common stochastic orders between a population and a subpopulation, in terms of the frailty of the subpopulation and the first two moments of frailty variable. Some examples and applications are discussed as well.

KW - 60K10

KW - Primary 90B25

KW - Secondary 60E15

KW - Stochastic order

KW - additive frailty

KW - mixture

KW - proportional hazard rates

KW - reverse hazard rate

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JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 15

ER -

On comparisons of population and subpopulations in frailty models

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Keywords

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