On the use of transformed auxiliary variables in estimating population mean by using two auxiliary variables

Abstract

This paper focuses on the use of auxiliary variables in estimating the finite population mean. We introduce a new class of estimators and compare its performance with several existing estimators such as ordinary sample mean, conventional ratio estimator and estimators by Sisodia and Dwivedi [1981. A modified ratio estimator using coefficient of variation of auxiliary variable. J. Indian Soc. Agricultural Statist. 33, 13–18], Singh and Kakran [1993. A modified ratio estimator using known coefficient of kurtosis of an auxiliary character. Unpublished manuscripts] and Upadhyaya and Singh [1999. Use of transformed auxiliary variable in estimating the finite population mean. Biometrical J. 41(5), 627–636]. The new estimator performs better than the other estimators considered here.