A general class of estimators with auxiliary information based on available units
نویسندگان
چکیده
This paper proposes some estimators for the finite population mean when observations on some units (on either the auxiliary variable or the main variable) are missing. The optimum estimator in the proposed class is derived. Asymptotic properties of optimum estimator are studied. A brief simulation study shows goods properties for moderate sample sizes. 2005 Elsevier Inc. All rights reserved.
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 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 کاملA General Class of Estimators of a Finite Population Mean Using Multi-auxiliary Information under Two Stage Sampling Scheme
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 estimat...
متن کاملComparison of Small Area Estimation Methods for Estimating Unemployment Rate
Extended Abstract. In recent years, needs for small area estimations have been greatly increased for large surveys particularly household surveys in Sta­ tistical Centre of Iran (SCI), because of the costs and respondent burden. The lack of suitable auxiliary variables between two decennial housing and popula­ tion census is a challenge for SCI in using these methods. In general, the...
متن کاملRatio and Regression Methods of Estimation
4.1 INTRODUCTION In sampling theory the auxiliary information is being utilized in following ways: Utilization of information at pre-selection stage i.e. for stratifying the population. Utilization of information at selection stage i.e. in selecting the units with probabilities proportional to some suitable measure of size (size being based on some auxiliary variables). Utilization of inf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 175 شماره
صفحات -
تاریخ انتشار 2006