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Silvey Shamsi

Center for Business and Economic Research (CBER), Ball State University



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Mian Arif Shams Adnan

Department of Computer Science, Ball State University



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Rahmatullah Imon

Department of Mathematical Sciences, Ball State University



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30 – Bayesian Modeling and Time Series

A Least Deviation Estimation Approach for Multiple Regression

Sponsor: Business and Economic Statistics Section
Keywords: Absolute Deviation, Fit by Regression, Outlier, Relative Coefficient of Determination

Silvey Shamsi

Center for Business and Economic Research (CBER), Ball State University

Mian Arif Shams Adnan

Department of Computer Science, Ball State University

Rahmatullah Imon

Department of Mathematical Sciences, Ball State University

Regression estimates of the Multiple Regression suffer from the exaggeration of the contribution of the extreme observation(s) as well as the outlier(s). Unlike the traditional fitting procedure of multiple regression based on the least squares estimates, it uses least deviation method for minimizing the total sum of errors. It also suggests some new measures of Coefficient of Determination.

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