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2020•Burapha Science Journal (วารสารวิทยาศาสตร์บูรพา )Requires access

Ratio-Cum-Product Type of Exponential Estimator for the Population Mean in Simple Random Sampling using the Information of Auxiliary Variable

Napattchan Dansawad

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Abstract

This paper presents ratio-cum-dual to product type of exponential estimator for the population mean using known value of auxiliary information under simple random sampling scheme. We have adapted the estimator suggested by Singh and Pal (2015). Furthermore, some important properties of the proposed estimator such as the Bias and the Mean-Squared Error (MSE) and its minimum value (MMSE) have been obtained. Efficiency comparisons between the proposed estimator and other existing estimators are also carried out in support of numerical and theoretical findings. The results of this study showed that the proposed estimator is more efficient as compared to all other existing estimators. Keywords : ratio estimator, product estimator, population mean, bias, Mean Squared Error

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What this paper is about

This paper presents ratio-cum-dual to product type of exponential estimator for the population mean using known value of auxiliary information under simple random sampling scheme. We have adapted the estimator suggested by Singh and Pal (2015). Furthermore, some important properties of the proposed estimator such as the Bias and the Mean-Squared Error (MSE) and its minimum value (MMSE) have been obtained. Efficiency comparisons between the proposed estimator and other existing estimators are also carried out in support of numerical and theoretical findings. The results of this study showed that the proposed estimator is more efficient as compared to all other existing estimators. Keywords : ratio estimator, product estimator, population mean, bias, Mean Squared Error

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Available abstract

This paper presents ratio-cum-dual to product type of exponential estimator for the population mean using known value of auxiliary information under simple random sampling scheme. We have adapted the estimator suggested by Singh and Pal (2015). Furthermore, some important properties of the proposed estimator such as the Bias and the Mean-Squared Error (MSE) and its minimum value (MMSE) have been obtained. Efficiency comparisons between the proposed estimator and other existing estimators are also carried out in support of numerical and theoretical findings. The results of this study showed that the proposed estimator is more efficient as compared to all other existing estimators. Keywords : ratio estimator, product estimator, population mean, bias, Mean Squared Error

Key concepts: Estimator, Mean squared error, Mathematics, Statistics, Population mean, Efficient estimator, Ratio estimator, Bias of an estimator

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