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2019•International Journal of Computational and Theoretical StatisticsOpen access

Estimation of Finite Population Mean Under Measurement Error

Singh Rajesh, Prabhakar Mishra, Supriya Khare

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Abstract

In this paper, we have proposed two log-product -type estimators and a new estimator for estimation of finite population mean under measurement error by using auxiliary information.The expressions for Bias and mean squared error of proposed estimators are evaluated up to first order of approximation.Based on theoretical results obtained, a numerical study by generating Normal population using R programming language is also included to compare the efficiency of proposed estimators with other relevant estimators.

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What this paper is about

In this paper, we have proposed two log-product -type estimators and a new estimator for estimation of finite population mean under measurement error by using auxiliary information.The expressions for Bias and mean squared error of proposed estimators are evaluated up to first order of approximation.Based on theoretical results obtained, a numerical study by generating Normal population using R programming language is also included to compare the efficiency of proposed estimators with other relevant estimators.

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Available abstract

In this paper, we have proposed two log-product -type estimators and a new estimator for estimation of finite population mean under measurement error by using auxiliary information.The expressions for Bias and mean squared error of proposed estimators are evaluated up to first order of approximation.Based on theoretical results obtained, a numerical study by generating Normal population using R programming language is also included to compare the efficiency of proposed estimators with other relevant estimators.

Key concepts: Population mean, Statistics, Estimation, Mathematics, Population, Observational error, Engineering, Demography

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