Searcharxiv⌕ Search

arXiv subjects

M. Kayid

Publications and source records attributed to M. Kayid.

2 recordsLinked to original sources
arXiv2015

Combination Mean Residual Life Order with Reliability Applications

The purpose of this paper is to introduce, study and analyze a new stochastic order which lies in the framework of the mean residual life and the combination convexity orders. Several preservation properties of the new order under reliability operations of monotone transformation, mixture, weighted distributions and shock models are discussed. In addition, two characterization properties of the new order based on the concept of residual life at random time and the concept of excess lifetime in renewal processes are given. Finally, we highlight some new applications of this order in the context of reliability and survival analysis.

stat.ME↗
arXiv2014

A New Extended Mixture Model of Residual Lifetime Distributions

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.

stat.ME↗