Estimation of population mean using two  auxiliary sources in sample surveys

Diwakar  Shukla; Sharad  Pathak; Narendra Singh  Thakur

doi:https://doi.org/10.59170/stattrans-2012-002

Estimation of population mean using two auxiliary sources in sample surveys

Diwakar Shukla Department of Mathematics and Statistics. Dr. Hari Singh Gour Central University, Sagar, M.P., India - 470003 , Sharad Pathak Department of Mathematics and Statistics. Dr. Hari Singh Gour Central University, Sagar, M.P., India - 470003 , Narendra Singh Thakur Center for Mathematical Sciences, Banasthali University, Rajasthan, India Statistics in Transition new series, vol. 13, 2012, 1, pages: 21-36 Published online: 1 March 2012 https://doi.org/10.59170/stattrans-2012-002

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ABSTRACT

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.

KEYWORDS

Family of estimators, SRSWOR, Bias and Mean squared error.

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