A General Class of Estimators of a Finite Population Mean Using Multi-auxiliary Information under Two Stage Sampling Scheme
نویسندگان
چکیده
Abstract In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. A general class of estimators is suggested to estimate the population mean for the variable under study in two stage sampling scheme. Some special cases of this class of estimators are considered and are compared by using a data set. It turns out that the newly suggested estimators dominate all other well known estimators in terms of mean square error. Finally it is shown, how to extend the class of estimators if multi auxiliary variables are available in the cases of two stage sampling scheme.
منابع مشابه
Effect of Measurement Errors on a Class of Estimators of Population Mean Using Auxiliary Information in Sample Surveys
We consider the problem of estimation the population mean of the study variate Y in presence of measurement errors when information on an auxiliary character X is known. A class of estimators for population means using information on an auxiliary variate X is defined. Expressions for its asymptotic bias and mean square error are obtained. Optimum conditions are obtained for which the mean...
متن کاملSome Estimators for a Finite Population Mean by Using Estimated Multi-auxiliary Information
The objective of this paper is to derived difference, regression and predictive estimators for two stage sampling by using double sampling technique when multi-auxiliary information is unavailable. The mean square errors for these estimators have been derived. A numerical study is given for finding the relative comparison.
متن کاملSome estimators for a finite population mean under two-stage sampling using multivariate auxiliary information
In this paper, we have derived difference, regression and predictor estimators for two-stage sampling with unequal first-stage units using multivariate auxiliary information. The mean square error of these estimators have been derived. A numerical illustration is given for finding the relative comparisons. 2003 Elsevier Inc. All rights reserved.
متن کاملA Study on the Class of Chain Ratio–type Estimators
This paper considers the problem of estimating the population mean Ybar of the study variate Y using information on different parameters such as population mean $(bar{X})$, coefficient of variation $(C_x)$, kurtosis $beta_{2(x)}$, standard deviation $(S_x)$ of the auxiliary variate x and on the correlation coefficient, $rho$, between the study variate $Y$ and the auxiliary variate $...
متن کاملImproved ratio-type estimators using maximum and minimum values under simple random sampling scheme
This paper presents a class of ratio-type estimators for the evaluation of finite population mean under maximum and minimum values by using knowledge of the auxiliary variable. The properties of the proposed estimators in terms of biases and mean square errors are derived up to first order of approximation. Also, the performance of the proposed class of estimators is shown theoretically and the...
متن کامل