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Comparison of Parametric and Non-Parametric Estimation Methods in Linear Regression Model

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  • Tolga Zaman
  • Kamil Alakuş

Abstract

In this study, the aim was to review the methods of parametric and non-parametric analyses in simple linear regression model. The least squares estimator (LSE) in parametric analysis of the model, and Mood-Brown and Theil-Sen methods that estimates the parameters according to the median value in non-parametric analysis of the model are introduced. Also, various weights of Theil-Sen method are examined and estimators are discussed. In an attempt to show the need for non-parametric methods, results are evaluated based on real life data.

Suggested Citation

  • Tolga Zaman & Kamil Alakuş, 2019. "Comparison of Parametric and Non-Parametric Estimation Methods in Linear Regression Model," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 7(1), pages 13-24, June.
  • Handle: RePEc:anm:alpnmr:v:7:y:2019:i:1:p:13-24
    DOI: http://dx.doi.org/10.17093/alphanumeric.346469
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    References listed on IDEAS

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    1. Tolga Zaman & Kamil Alakuş, 2016. "Some Robust Estimation Methods and Their Applications," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 3(2), pages 73-82, December.
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      More about this item

      Keywords

      Least Squares; Mean Absolute Deviation; Median; Mood-Brown Estimator; Outlier; Theil-Sen Estimator;
      All these keywords.

      JEL classification:

      • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General

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