Some Reliability Properties of Transformed-Transformer Family of Distributions

Abstract

The Transformed-Transformer family of distributions are the resulting family of distributions as transformed from a random variable $T$ through another transformer random variable $X$ using a weight function $\omega$ of the cumulative distribution function of $X$. In this paper, we study different stochastic ageing properties, as well as different stochastic orderings of this family of distributions. We discuss the results with several well known distributions.

References in corpus (1)

• The Beta Generalized Exponential Distribution