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Splitting Criteria with the Bias Term

  • Leszek RutkowskiEmail author
  • Maciej Jaworski
  • Piotr Duda
Chapter
Part of the Studies in Big Data book series (SBD, volume 56)

Abstract

The Mean Squared Error (MSE) of any estimator \(\widehat{\Theta }\) of some quantity \(\Theta \) is a sum of two terms
$$\begin{aligned} E\left[ \left( \widehat{\Theta }-\Theta \right) ^{2}\right] =E\left[ \left( \widehat{\Theta }-E\left[ \widehat{\Theta }\right] \right) ^{2}\right] + \left( E\left[ \widehat{\Theta }\right] -\Theta \right) ^{2}. \end{aligned}$$

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Leszek Rutkowski
    • 1
    • 2
    Email author
  • Maciej Jaworski
    • 1
  • Piotr Duda
    • 1
  1. 1.Institute of Computational IntelligenceCzestochowa University of TechnologyCzęstochowaPoland
  2. 2.Information Technology InstituteUniversity of Social SciencesLodzPoland

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