Stochastic Comparison of Parallel Systems with Log-Lindley Distributed Components

TL;DR

This paper investigates stochastic comparisons of parallel systems with components following the log-Lindley distribution, focusing on reversed hazard rate and likelihood ratio orderings to understand their reliability characteristics.

Contribution

It introduces new stochastic comparison results for parallel systems with log-Lindley distributed components, expanding the theoretical understanding of their reliability.

Findings

Established reversed hazard rate ordering between systems.

Derived likelihood ratio ordering results.

Provided theoretical insights into system reliability comparisons.

Abstract

In this paper, we study stochastic comparisons of parallel systems having log-Lindley distributed components. These comparisons are carried out with respect to reversed hazard rate and likelihood ratio ordering.