# Concomitants of Order Statistics from a Bivariate Generalized Linear Exponential Distribution: Theory and Practice

## TL;DR

This paper explores statistical properties of concomitants from a bivariate generalized linear exponential distribution and applies them to real data.

## Contribution

The paper derives new expressions for concomitant density functions and moments, and proposes a best linear unbiased estimator using ranked set sampling.

## Key findings

- The probability density functions of single and joint concomitants are derived.
- Expressions for moments of concomitants are obtained.
- A best linear unbiased estimator is proposed and applied to real data.

## Abstract

This paper investigates the concomitants of order statistics from the bivariate generalized linear exponential (BGLE) distribution. We obtain the probability density function of a single concomitant and the joint probability density function of two concomitants of order statistics from the BGLE distribution. In addition, expressions for the single and product moments of concomitants of order statistics are derived. Furthermore, we find the best linear unbiased estimator of a scale parameter related to a study variable using various ranked set sampling techniques. Finally, we apply the findings to a real-life dataset.