In reality, failure data are often collected under diffract operational conditions (covariates),
leading to heterogeneity among the data. Heterogeneity can be classified as observed and …

A multivariate frailty model in which survival function depends on baseline distributions of
components and the frailty random variable is considered. Since misspecification in choice …

In this paper, we propose a general frailty model and develop its properties including some
results for stochastic comparisons. More specifically, our main results lie in seeing how the …

In this paper, relative behavior of two frailty models with different frailty variables and a
common baseline variable are considered. We show that, under some conditions on frailty …

This article investigates properties of mixture model of proportional reversed hazard rate.
Firstly, the mixing random variable and the overall population variable are proved to be …

The α-mixture model, as a flexible family of distributions, is an effective tool for modeling
heterogeneity inS population. This article investigates the hazard rate of α-mixture in terms …

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This article studies the mixed proportional odds model. We build TP2 dependence between
the overall population variable and the unobservable covariate and present some …

In this paper, we identify several relative ordering properties of the modified proportional
hazard rate and modified proportional reversed hazard rate models. For this purpose, we …

This paper is intended to consider a weighted proportional hazards model and the arising
mixture model from it which is called weighted frailty model and study some properties in the …