A CLASS OF ESTIMATORS IN DOUBLE SAMPLING USING TWO AUXILIARY VARIABLES

  • Shashi Bhushan Department of Statistics, PUC Campus, Mizoram University, Aizawl – 796001, Mizoram, India.
  • Anshula Pandey Department of Statistics, University of Lucknow, Lucknow, U P, India
  • Shubhra Katara Department of Statistics, Bareilly College, Bareilly, U P, India
Keywords: Study Variable, Auxiliary Variable, Class of Double Estimators, Chain Ratio type Estimator, Bias, Mean Square Error

Abstract

In this paper, we have proposed a generalized class of double sampling estimators based on ratio type estimators for estimating the population mean of the study variable utilizing the available information in the form of known population parameter(s) of two auxiliary variables. The asymptotic expressions of bias and mean square error (MSE) of the proposed class of estimators have been obtained. A comparative study has been made with usual estimators available in the literature. The proposed class of estimators is found to be an improvement over chain ratio type estimator proposed by Chand (1975) and includes Sahai (1979) and Sen’s (1978) estimators as special cases.

 

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Published
2008-06-21
Section
Articles