Pareto distributions and related generalizations have historically been viewed as being
suitable for modelling income and wealth distributions. Following a brief review of the history …

The study focuses on key metrics used to examine the characteristics of a lifetime random
variable distribution in reliability and survival theory research. In this analysis, metrics …

In view of the growing importance of reversed hazard rate (RHR) in reliability analysis and
stochastic modeling, we have considered different implicative relationships with respect to …

A review is given of the exponentiated Weibull distribution, the first generalization of the two-
parameter Weibull distribution to accommodate nonmonotone hazard rates. The properties …

Under the game competition, it is very difficult to maintain all retail strategies for shelf life fast-
moving consumer (FMCG) goods products with the random demand. Due to random …

The purpose of this article is to study several preservation properties of the mean inactivity
time order under the reliability operations of convolution, mixture, and shock models. In that …

In this article, it is shown that, apart from the expected inactivity time, the second-order
moment of inactivity time determines the distribution uniquely. We also show that any one …

The Muth distribution and its derivation have been used to construct numerous statistical
models in recent years, with applications in a variety of fields. In this paper, we use the …

In this article, we study reliability measures such as geometric vitality function and
conditional Shannon's measures of uncertainty proposed by Ebrahimi and Sankaran and …

Measure of uncertainty in past lifetime distribution plays an important role in the context of
Information Theory, Forensic Science and other related fields. In this paper we provide …