Abstract
In this paper we propose a combined exponential ratio type estimator of finite population mean utilizing information on the auxiliary attribute(s) under non-response. Expressions for bias and MSE of the proposed estimator are derived up to first order of approximation. An empirical study is carried out to observe the performances of the estimators.
Highlights
The problem of non-response is very common in surveys and the estimators may produce bias results
Hansen and Hurwitz (1946) considered the problem of estimation of population mean under non-response. They suggested of taking a random sample from non-respondents with some extra sources and efforts
We have proposed two combined exponential ratio type estimators when using information on the auxiliary attribute(s) under non-response
Summary
The problem of non-response is very common in surveys and the estimators may produce bias results. Hansen and Hurwitz (1946) considered the problem of estimation of population mean under non-response. They suggested of taking a random sample from non-respondents with some extra sources and efforts. S2 jh be the population variances of the study variable and the auxiliary attributes, respectively in the hth stratum, where. S i 1 y j h and SS S y jh y j h j h yh be the population bi-covariance and point bi-serial correlation coefficient between the study variable and the auxiliary attributes respectively in the hth. 1 2h 1h 2h be the population phicovariance and phi-correlation coefficient between the auxiliary attributes, respectively in the hth stratum. Bahl and Tuteja (1991) exponential ratio type estimator when a single auxiliary attribute is used, given by YBT1 RC. We propose the exponential ratio-type estimator for population mean
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