An Introduction to Stochastic Orders discusses this powerful tool that can be used in
comparing probabilistic models in different areas such as reliability, survival analysis, risks …

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 …

In this paper we establish multivariate hazard rate, multivariate reverse hazard rate, and
multivariate likelihood ratio stochastic orderings among multivariate random mapping …

In this paper, we obtain some conditions to compare multivariate mixture models with
respect to some well-known multivariate stochastic orders. We also utilize the established …

The residual life of a random variable X at random time Θ is defined to be a random variable
X_Θ having the same distribution as the conditional distribution of X-Θ given X>Θ (denoted …

A new stochastic order based upon Laplace transform with applications - ScienceDirect Skip to
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This paper studies the multivariate mixed proportional reversed hazard rate model having
dependent mixing variables. Stochastic comparison as well as aging properties in this …

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 …

Frailty and resilience models provide a convenient tool to introduce random effects,
dependence and unobserved heterogeneity into the models for survival data. In this paper …

Consider two random vectors X1 and X2 whose distributions are defined according to the
multivariate frailty approach, and let Xk, t=[Xk− t| Xk> t], k= 1, 2, be the corresponding vectors …