Comparisons of finite $\alpha$-mixture of additive hazard rate models

Lazam Razzaq, Aqeel; Almasi, Isaac; Saadat Kia (Barmalzan), Ghobad

doi:10.22060/ajmc.2025.23236.1244

Comparisons of finite $α$ -mixture of additive hazard rate models

Articles in Press

Document Type : Original Article

Authors

Aqeel Lazam Razzaq ¹
Isaac Almasi ¹
Ghobad Saadat Kia (Barmalzan) ²

¹ Department of Statistics, Razi University, Kermanshah, Iran

² Department of Statistics, Kermanshah University of Technology, Iran

10.22060/ajmc.2025.23236.1244

Abstract

This paper discusses stochastic comparisons on the finite

α

-mixture of additive hazard models. Sufficient conditions on the underlying distribution parameters and the mixing probabilities are established for the comparisons of different

α

-mixtures of survival or distribution functions of these models with respect to the usual stochastic order and the hazard rate order, respectively. Several examples are also presented to illustrate the theoretical findings.

Keywords