Use of an efficient unbiased estimator for finite population mean

In this study, we propose an improved unbiased estimator in estimating the finite population mean using a single auxiliary variable and rank of the auxiliary variable by adopting the Hartley-Ross procedure when some parameters of the auxiliary variable are known. Expressions for the bias and mean sq...

Full description

Saved in:
Bibliographic Details
Published in:PloS one 2022-07, Vol.17 (7), p.e0270277-e0270277
Main Authors: Shabbir, Javid, Onyango, Ronald
Format: Article
Language:English
Subjects:
Analysis
Bias
Datasets
Estimators
Mathematical statistics
Methods
People and Places
Physical Sciences
Population
Population studies
Research and Analysis Methods
Skewness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, we propose an improved unbiased estimator in estimating the finite population mean using a single auxiliary variable and rank of the auxiliary variable by adopting the Hartley-Ross procedure when some parameters of the auxiliary variable are known. Expressions for the bias and mean square error or variance of the estimators are obtained up to the first order of approximation. Four real data sets are used to observe the performances of the estimators and to support the theoretical findings. It turns out that the proposed unbiased estimator outperforms as compared to all other considered estimators. It is also observed that using conventional measures have significant contributions in achieving the efficiency of the estimators.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0270277