On stochastic comparisons of finite $\alpha$-mixture of additive hazard rate models | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 8، دوره 7، شماره 3، پاییز 2026، صفحه 347-359 اصل مقاله (491.79 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23236.1244 | ||
| نویسندگان | ||
| Aqeel Lazam Razzaq1؛ Isaac Almasi* 1؛ Ghobad Saadat Kia (Barmalzan)2 | ||
| 1Department of Statistics, Razi University, Kermanshah, Iran | ||
| 2Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran | ||
| چکیده | ||
| This paper discusses stochastic comparisons on the finite $\alpha$-mixture of additive hazard models. Sufficient conditions on the underlying distribution parameters and the mixing probabilities are established for the comparisons of different $\alpha$-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. | ||
| کلیدواژهها | ||
| Stochastic orders؛ $\alpha$-Mixture model؛ Majorization؛ Additive hazard rate models | ||
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