2013Unpublished venueRequires access

Generalized Estimators of Population Median using Auxiliary Information

H. S. Jhajj, H. K. Bhangu

Open publisher page 3 citations

Abstract

For estimating the median of the population, we have proposed two estimators using linear transformations using the information on median of the auxiliary variable. The expressions for biases, mean square errors and their minimum values have been obtained. It has been shown that proposed estimators are always efficient than the ratio estimator and equally efficient to the other estimators derived from a different approach respectively defined by Kuk and Mak (1989). The comparison of estimators among the proposed estimators with respect to their biases has also been done.The results have been illustrated by carrying out the simulation study.

About this research paper

What this paper is about

For estimating the median of the population, we have proposed two estimators using linear transformations using the information on median of the auxiliary variable. The expressions for biases, mean square errors and their minimum values have been obtained. It has been shown that proposed estimators are always efficient than the ratio estimator and equally efficient to the other estimators derived from a different approach respectively defined by Kuk and Mak (1989). The comparison of estimators among the proposed estimators with respect to their biases has also been done.The results have been illustrated by carrying out the simulation study.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

For estimating the median of the population, we have proposed two estimators using linear transformations using the information on median of the auxiliary variable. The expressions for biases, mean square errors and their minimum values have been obtained. It has been shown that proposed estimators are always efficient than the ratio estimator and equally efficient to the other estimators derived from a different approach respectively defined by Kuk and Mak (1989). The comparison of estimators among the proposed estimators with respect to their biases has also been done.The results have been illustrated by carrying out the simulation study.

Key concepts: Estimator, Population mean, Extremum estimator, Mathematics, Statistics, M-estimator, Population, Variable (mathematics)

Related papers

Back to paper searchBrowse research topicsOriginal source
Generalized Estimators of Population Median using Auxiliary Information — Research Paper | ScholarLens