Some stochastic comparison results for frailty and resilience models

TL;DR

This paper explores how frailty and resilience random variables influence baseline hazard models using stochastic orders, providing theoretical insights and real-world data illustrations.

Contribution

It introduces new stochastic comparison results for frailty and resilience models, enhancing understanding of heterogeneity effects in hazard modeling.

Findings

Frailty and resilience variables affect hazard functions under shifted stochastic orders.

Theoretical results are supported by real-world data examples.

New insights into aging properties of baseline variables are provided.

Abstract

Frailty and resilience models provide a way to introduce random effects in hazard and reversed hazard rate modeling by random variables, called frailty and resilience random variables, respectively, to account for unobserved or unexplained heterogeneity among experimental units. This paper investigates the effects of frailty and resilience random variables on the baseline random variables using some shifted stochastic orders based on some ageing properties of the baseline random variables. Relevant examples are provided to illustrate the results. Some results are illustrated with real-world data.