Stochastic Comparisons of Series and Parallel Systems with Topp-Leone Generated Family of Distributions

TL;DR

This paper compares the reliability of series and parallel systems with Topp-Leone generated distributions using stochastic ordering, considering different shape and scale parameters, and employs vector majorization techniques for the analysis.

Contribution

It introduces stochastic comparison results for systems with Topp-Leone distributions considering varying shape and scale parameters, using vector majorization methods.

Findings

Established ordering results for systems with different shape parameters.

Established ordering results for systems with different scale parameters.

Applied vector majorization techniques to stochastic comparisons.

Abstract

In this article, we stochastically compare the series and parallel systems having Topp Leone generated family of distributions. We consider that the lifetimes of the components of the systems have either the different shape parameters when the scale parameters are fixed or the different scale parameters when the shape parameters are fixed and established some ordering results With the help of vector majorization technique.