Ageing intensity (AI) function analyzes the ageing property of a system quantitatively. We study the behavior of a few generalized Weibull models and some system properties in terms of AI function. We establish that AI function provides a major and altogether a new role in studying system’s...

Recently, proportional mean remaining life (PMRL) model has been introduced in the literature for modelling and analysing failure time data. In this paper, some properties of PMRL model related to reliability analysis are investigated. Closure properties of a few aging classes and those of...

Recently, the concept of aging intensity (AI) function has been introduced in the literature for evaluating the aging property of a unit (that may be a system or a living organism) quantitatively. In this paper, we discuss the properties of AI function and study its nature for various...

Purpose: The purpose of this paper is to introduce a new probability density function having both unbounded and bounded support with a wider applicability. While the distribution with bounded support on [0, 1] has applications in insurance and inventory management with ability to fit risk...

We show that the order statistics, in a sample from a distribution that has a logconcave density function, are ordered in the up shifted likelihood ratio order. We also show that the order statistics from two different collections of random variables are ordered in the up shifted likelihood...

The reversed (backward) hazard rate ordering is an ordering for random variables which compares lifetimes with respect to their reversed hazard rate functions. In this paper, we have given some sufficient conditions under which the ordering between the components with respect to the reversed...