A new population mean estimator under non-response cases

Using the information in x, we consider a new estimator that uses an exponential function to estimate the unknown population mean of y in the case of non-responding units. These cases are divided into two categories as Case I and Case II. In Case I, non-response units are only available on y, whereas in Case II, non-response units are available on both x and y. The proposed estimators are derived from both scenarios, accordingly. The necessary comparisons are made theoretically and numerical study on the subject of education is carried out. We conclude that in both non-response schemes, the proposed estimators can be chosen in theory and also in applications, such as the education data.

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