An Alternative Estimator for Estimating the Finite Population Mean in Presence of Measurement Errors with the View to Financial Modelling
Science Journal of Applied Mathematics and Statistics
Volume 2, Issue 6, December 2014, Pages: 107-111
Received: Nov. 5, 2014; Accepted: Nov. 16, 2014; Published: Nov. 18, 2014
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Authors
Rajesh Singh, Department of Statistics, BHU, Varanasi, India
Sachin Malik, Department of Statistics, BHU, Varanasi, India
Mohd Khoshnevisan, Associate Professor of Finance, Ajman University of Science and Technology, Ajman, UAE
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Abstract
This article presents the problem of estimating the population mean using auxiliary information in the presence of measurement errors. We have compared the three proposed estimators being the exponential ratio-type estimator, Solanki et al. (2012) estimator, and the mean per unit estimator in the presence of measurement errors. Financial Model by Gujrati and Sangeetha (2007) has been employed in our empirical analysis. In that, our investigation has indicated that our proposed general class of estimator t4 is the most suitable estimator with a smaller MSE relative to other estimators under measurement errors.
Keywords
Population Mean, Study Variate, Auxiliary Variates, Mean Squared Error, Measurement Errors, Efficiency, Financial Model
To cite this article
Rajesh Singh, Sachin Malik, Mohd Khoshnevisan, An Alternative Estimator for Estimating the Finite Population Mean in Presence of Measurement Errors with the View to Financial Modelling, Science Journal of Applied Mathematics and Statistics. Vol. 2, No. 6, 2014, pp. 107-111. doi: 10.11648/j.sjams.20140206.11
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