A class of chain ratio-cum-dual to ratio type  estimator with two auxiliary characters under double sampling in sample surveys

S.  Choudhury; B. K.  Singh

doi:https://doi.org/10.59170/stattrans-2012-037

A class of chain ratio-cum-dual to ratio type estimator with two auxiliary characters under double sampling in sample surveys

S. Choudhury Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli-791109, Arunachal Pradesh, India , B. K. Singh Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli-791109, Arunachal Pradesh, India Statistics in Transition new series, vol. 13, 2012, 3, pages: 519-536 Published online: 3 September 2012 https://doi.org/10.59170/stattrans-2012-037

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ABSTRACT

This paper considers a chain ratio-cum-dual to ratio type estimator for estimating population mean of the study variate using two auxiliary variates under double (two-phase) sampling procedure, when the information on another additional auxiliary variate is available along with the main auxiliary variate. The asymptotically optimum estimators (AOEs) in the class are identified in two different cases with their bias and variances. The optimum values of the first phase and second phase sample sizes have been obtained for the fixed cost of survey. Theoretical and empirical studies have also been done to demonstrate the efficiency of the proposed estimator with respect to strategies which utilized the information on two auxiliary variates

KEYWORDS

auxiliary variate, double sampling, chain ratio-cum-dual to ratio estimator, bias, variance, efficiency.

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