Improvement in variance estimation in simple random sampling

Cem Kadilar; Hulya Cingi

doi:10.1080/03610920601144046

Improvement in variance estimation in simple random sampling

Cem Kadilar
, Hulya Cingi

Hacettepe University

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

We propose a new estimator for the population variance using an auxiliary variable in simple random sampling and obtain the equations for its mean square error (MSE) and bias. In addition, theoretically, we show that the proposed estimator is more efficient than the traditional ratio and regression estimators, suggested by Isaki (1983), under certain conditions that are defined in this article. These conditions are satisfied with a numerical example.

Original language	English
Pages (from-to)	2075-2081
Number of pages	7
Journal	Communications in Statistics - Theory and Methods
Volume	36
Issue number	11
DOIs	https://doi.org/10.1080/03610920601144046
Publication status	Published - Jan 2007

Keywords

Auxiliary information
Bias
Efficiency
Mean square error
Ratio estimator
Regression estimator
Variance estimator

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10.1080/03610920601144046

Cite this

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KW - Efficiency

KW - Mean square error

KW - Ratio estimator

KW - Regression estimator

KW - Variance estimator

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Improvement in variance estimation in simple random sampling

Abstract

Keywords

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