2023GAZI UNIVERSITY JOURNAL OF SCIENCEOpen access

Classes of Population Mean Estimators using Transformed Variables in Double Sampling

Natthapat Thongsak, Nuanpan Lawson

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Abstract

Transformation techniques have been used to increase the efficiency of estimators in sample surveys. In this paper, some classes of population mean estimators using transformation on an auxiliary variable and on both the auxiliary and study variables have been proposed under double sampling. The proposed estimators’ biases and mean square errors are approximated up to the first order. A simulation study and application to a rubber production dataset have been used to illustrate the proposed estimators’ performance. The results show that they perform much better than other existing estimators under given conditions.

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What this paper is about

Transformation techniques have been used to increase the efficiency of estimators in sample surveys. In this paper, some classes of population mean estimators using transformation on an auxiliary variable and on both the auxiliary and study variables have been proposed under double sampling. The proposed estimators’ biases and mean square errors are approximated up to the first order. A simulation study and application to a rubber production dataset have been used to illustrate the proposed estimators’ performance. The results show that they perform much better than other existing estimators under given conditions.

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Available abstract

Transformation techniques have been used to increase the efficiency of estimators in sample surveys. In this paper, some classes of population mean estimators using transformation on an auxiliary variable and on both the auxiliary and study variables have been proposed under double sampling. The proposed estimators’ biases and mean square errors are approximated up to the first order. A simulation study and application to a rubber production dataset have been used to illustrate the proposed estimators’ performance. The results show that they perform much better than other existing estimators under given conditions.

Key concepts: Estimator, Extremum estimator, Population mean, Mathematics, Statistics, Transformation (genetics), Sampling (signal processing), M-estimator

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