A New Extended Mixture Model of Residual Lifetime Distributions

TL;DR

This paper introduces a new extended mixture model for residual lifetime distributions, demonstrating its practical applicability and analyzing its properties related to dependence, stochastic orders, and aging.

Contribution

The paper proposes a novel extended mixture model for residual lifetime distributions and explores its closure and preservation properties under various stochastic concepts.

Findings

Model effectively captures residual lifetime behaviors in practical scenarios.

Closure properties under dependence and aging notions are established.

Preservation of stochastic orders is demonstrated within the model.

Abstract

In this paper, we first propose a new extended mixture model of residual lifetime distributions. We show that this model is suitable in modeling residual lifetime in some practical situations. Several closure properties of some well-known dependence concepts, stochastic orders and aging notions under the formation of this model, are obtained. Finally, preservation properties of some stochastic orders under the formation of the model are discussed and some examples of interest are presented.