A two parameter ratio-product-ratio estimator using auxiliary information

Details A two parameter ratio-product-ratio estimator using auxiliary information A two parameter ratio-product-ratio estimator using auxiliary information

2012-02-11

arxiv.org/abs/1202.2395v1

Mathematics

Statistics Theory

13 pages, 2 figures, 4 tables

Scientific paper

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 Ray and Sahai (1980), Sahai and Ray (1980), Sahai and Sahai (1985) and Singh and Ruiz Espejo (2003). The bias and mean square 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 square 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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