ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES

We consider the problem of estimating the finite population mean in two phase sampling when some information on auxiliary attributes is available. It is shown that the proposed estimator is more efficient than the usual mean estimator, the S. Bahl and R.K. Tuteja (Ratio and product type exponential estimators, Information and Optimization Sciences 12 (1), 159–163, 1991) estimator and a family of estimators considered by H. S. Jhajj et al (A family of estimators of population mean using in formation on auxiliary attribute, Pakistan Journal of Statistics 22 (1), 43–50, 2006). Two numerical examples are considered to further evaluate the performances of various estimators considered here.