GENERALIZED CHAIN RATIO REGRESSION AND CHAIN REGRESSION ESTIMATORS FOR THE POPULATION MEAN USING TWO AUXILIARY CHARACTERS IN THE PRESENCE OF NON-RESPONSE

B. B.  Khare; Habib Ur  Rehman; Kamlesh  Kumar

B. B. Khare Department of Statistics, Banaras Hindu University, Varanasi-221005,U.P.,India
Habib Ur Rehman Department of Statistics, Banaras Hindu University, Varanasi-221005,U.P.,India
Kamlesh Kumar Department of Statistics, Banaras Hindu University, Varanasi-221005,U.P.,India

Keywords: Population Mean, Study Variable, Auxiliary Variables, Mean Squared Error

Abstract

Generalized chain ratio regression and chain regression estimators for the population mean using two auxiliary characters have been proposed in the presence of non-response. The expressions for the mean square error (MSE) of these estimators have been obtained for fixed sample sizes ( n′ and n ) and also for fixed costC ≤ C0 .The optimum values of the first phase sample size n′ and the sub sample of size n have been obtained for the fixed cost 0 C ≤ C and also for the specified precision V = 0 V ′ .

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