Estimation of Population Mean Using Two Auxiliary Sources in Sample Surveys
Estimation of Population Mean Using Two Auxiliary Sources in Sample Surveys
Author(s): Diwakar Shukla, Sharad Pathak, Narendra Singh ThakurSubject(s): Economy
Published by: Główny Urząd Statystyczny
Keywords: Family of estimators;SRSWOR;Bias and Mean squared error
Summary/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.
Journal: Statistics in Transition. New Series
- Issue Year: 13/2012
- Issue No: 1
- Page Range: 21-36
- Page Count: 16
- Language: English