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Estimators for the Product of Two Population Means Using Auxiliary Attribute in the Presence of Non-response

Kamlesh Kumar, Sunit Kumar

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Abstract

The problem of non-response generally occurs due to the lack of interest, not at home, refusal etc. Many authors developed estimators for estimation of population mean in the presence of nonresponse. Sometimes estimation of product of two population means in the presence of non-response is also needed. Keeping this fact in the view, some estimators for the product of two population means using auxiliary attribute in the presence of non-response have been suggested. The properties of the suggested estimators are also studied. A comparative study of the suggested estimators with the relevant estimators is given. Using a real data set, a numerical study is also given to check the efficiency of the proposed estimators in comparison to the relevant estimators. From numerical study it has been found that the proposed estimators work better that the other exiting estimators in some given conditions.

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What this paper is about

The problem of non-response generally occurs due to the lack of interest, not at home, refusal etc. Many authors developed estimators for estimation of population mean in the presence of nonresponse. Sometimes estimation of product of two population means in the presence of non-response is also needed. Keeping this fact in the view, some estimators for the product of two population means using auxiliary attribute in the presence of non-response have been suggested. The properties of the suggested estimators are also studied. A comparative study of the suggested estimators with the relevant estimators is given. Using a real data set, a numerical study is also given to check the efficiency of the proposed estimators in comparison to the relevant estimators. From numerical study it has been found that the proposed estimators work better that the other exiting estimators in some given conditions.

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Available abstract

The problem of non-response generally occurs due to the lack of interest, not at home, refusal etc. Many authors developed estimators for estimation of population mean in the presence of nonresponse. Sometimes estimation of product of two population means in the presence of non-response is also needed. Keeping this fact in the view, some estimators for the product of two population means using auxiliary attribute in the presence of non-response have been suggested. The properties of the suggested estimators are also studied. A comparative study of the suggested estimators with the relevant estimators is given. Using a real data set, a numerical study is also given to check the efficiency of the proposed estimators in comparison to the relevant estimators. From numerical study it has been found that the proposed estimators work better that the other exiting estimators in some given conditions.

Key concepts: Estimator, Extremum estimator, Product (mathematics), Population, M-estimator, Estimation, Set (abstract data type), Statistics

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