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ISRN Probability and Statistics
Article . 2012 . Peer-reviewed
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ISRN Probability and Statistics
Article
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Article . 2012
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https://dx.doi.org/10.48550/ar...
Article . 2012
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A Two-Parameter Ratio-Product-Ratio Estimator Using Auxiliary Information

A two-parameter ratio-product-ratio estimator using auxiliary information
Authors: Peter S. Chami; Bernd Sing; Doneal Thomas;

A Two-Parameter Ratio-Product-Ratio Estimator Using Auxiliary Information

Abstract

We propose a two-parameter ratio-product-ratio estimator for a finite population mean in a simple random sample without replacement following the methodology in the studies of Ray and Sahai (1980), Sahai and Ray (1980), A. Sahai and A. Sahai (1985), and Singh and Espejo (2003).The bias and mean squared error of our proposed estimator are obtained to the first degree of approximation. We derive conditions for the parameters under which the proposed estimator has smaller mean squared error than the sample mean, ratio, and product estimators. We carry out an application showing that the proposed estimator outperforms the traditional estimators using groundwater data taken from a geological site in the state of Florida.

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Keywords

62D05, 62G05, Sampling theory, sample surveys, FOS: Mathematics, Mathematics - Statistics Theory, Statistics Theory (math.ST), Applications of statistics to environmental and related topics

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Average
Green
gold