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A General Family of Dual to Ratio-Cum-Product Estimator in Sample Surveys

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Singh R., Kumar M., Chauhan P., Sawan N., Smarandache F.
Statistics in Transition new series
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2011
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vol. 12
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issue 3
587-594
EN
This paper presents a family of dual to ratio-cum-product estimators for the finite population mean. Under simple random sampling without replacement (SRSWOR) scheme, expressions of the bias and mean-squared error (MSE) up to the first order of approximation are derived. We show that the proposed family is more efficient than usual unbiased estimator, ratio estimator, product estimator, Singh estimator (1967), Srivenkataramana (1980) and Bandyopadhyaya estimator (1980) and Singh et al. (2005) estimator. An empirical study is carried out to illustrate the performance of the constructed estimator over others.
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Estimation of Population Mean Using Two Auxiliary Sources in Sample Surveys

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Shukla D., Pathak S., Thakur N. S.
Statistics in Transition new series
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2012
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vol. 13
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issue 1
21-36
EN
This paper proposes families for estimation of population mean of the main variable under study using the information on two different auxiliary variables under simple random sampling without replacement (SRSWOR) scheme. Three different classes of estimators are constructed, examined with a complete study with other existing estimators. The expression for bias and mean squared error of the proposed families are obtained up to first order of approximation. Usual ratio estimator, product estimator, dual to ratio estimator, ratio-cum-product type estimator and many more estimators are identified as particular members of the suggested family. Expressions of optimization are derived and theoretical results are supported by numerical examples.
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