Estimation of the Location-Scale Parameters Based on Ranked Set Sampling Combined with Additional Binomial Information

TL;DR

This paper introduces a modified ranked set sampling method that incorporates additional binomial information, leading to more accurate inference for location-scale parameters within a likelihood framework.

Contribution

The paper presents a novel modification to ranked set sampling that effectively integrates extra binomial data, enhancing inference accuracy for location-scale parameters.

Findings

Modified sampling yields more precise parameter estimates

Incorporating binomial info improves inference accuracy

Method is cost-effective and easy to implement

Abstract

In this paper, we propose a modified version of ranked set sample which allows for the incorporation of more information in the inference procedure at almost no cost. This procedure is studied for the location-scale family using a likelihood framework. Our results show that the modified procedure produce more accurate inferences than the original ranked set sampling scheme