Exponential Type Estimators Using Sub-Sampling Method with Applications in Agriculture
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Date
2022
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Publisher
Ankara Üniversitesi
Abstract
In this article, the family of exponential type estimators with the auxiliary
variable is proposed in the case of non-response scheme for the purpose
of obtaining the unknown population mean of the study variable. The nonresponse scheme is examined under two main cases as Case I and Case
II. The bias, mean square error (MSE) and minimum MSE of the proposed
family of estimators are obtained in detail for both cases. After theoretical
inferences, empirical studies are carried out to show the appropriateness
of the proposed family of estimators in the field of agriculture. The MSE
and PRE (Percentage Relative Efficiency) values are obtained. According
to the results, the proposed estimators provide more efficient results than
existing estimators in the literature under the obtained conditions for both
cases. We conclude that the proposed family of estimators can be applied
to the agriculture data successfully.
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Keywords
Agriculture, Efficiency, Non-response, Population mean estimator