Chain ratio estimator for the  population mean in the presence of non-response

B. B. Khare; U.  Srivastava; K.  Kumar

doi:https://doi.org/10.59170/stattrans-2012-036

Chain ratio estimator for the population mean in the presence of non-response

B. B. Khare Department of Statistics, Banaras Hindu University, Varanasi-221005, India. , U. Srivastava Statistics Sections M.M.V., Banaras Hindu University, Varanasi-221005, India , K. Kumar Department of Statistics, Banaras Hindu University, Varanasi-221005, India. Statistics in Transition new series, vol. 13, 2012, 3, pages: 495-518 Published online: 3 September 2012 https://doi.org/10.59170/stattrans-2012-036

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ABSTRACT

In this paper we have proposed two chain ratio type estimators for population mean using two auxiliary variables in the presence of non-response. The proposed estimators have been found to be more efficient than the relevant estimators for the fixed values of preliminary sample of size n' and subsample of size n(< n') taken from the preliminary sample of size n' under the specified conditions. The proposed estimators are more efficient than the corresponding estimators for population mean (Y ) of study variable y in the case of the fixed cost and have less total cost in comparison to the cost incurred by the corresponding relevant estimators for specified variance. The results have been supported by empirical study as well as Monte Carlo simulation study.

KEYWORDS

chain ratio type estimator, preliminary sample, bias, mean square error, non-response, additional auxiliary variable.

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