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Modified Ratio Estimators in Stratified Random Sampling

Prayad Sangngam

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Abstract

Abstract This paper considers two modified ratio estimators of population mean in stratified random sampling. The approximated mean squared error and bias of the proposed estimators are derived and theoretically compared with those of the existing estimators. The results show that the modified estimators produce smaller mean squared error and bias than the existing estimators in some conditions. Moreover, the theoretical result is confirmed by using a census data set. Keywords: Ratio estimator, Mean squared error, Stratified random sampling.

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What this paper is about

Abstract This paper considers two modified ratio estimators of population mean in stratified random sampling. The approximated mean squared error and bias of the proposed estimators are derived and theoretically compared with those of the existing estimators. The results show that the modified estimators produce smaller mean squared error and bias than the existing estimators in some conditions. Moreover, the theoretical result is confirmed by using a census data set. Keywords: Ratio estimator, Mean squared error, Stratified random sampling.

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Available abstract

Abstract This paper considers two modified ratio estimators of population mean in stratified random sampling. The approximated mean squared error and bias of the proposed estimators are derived and theoretically compared with those of the existing estimators. The results show that the modified estimators produce smaller mean squared error and bias than the existing estimators in some conditions. Moreover, the theoretical result is confirmed by using a census data set. Keywords: Ratio estimator, Mean squared error, Stratified random sampling.

Key concepts: Estimator, Stratified sampling, Population mean, Mean squared error, Statistics, Mathematics, Ratio estimator, Sampling (signal processing)

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