Simple Regression in Light of Future Data

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Other Title
  • 将来のデータに照らした単回帰
  • ショウライ ノ データ ニ テラシタ タンカイキ

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Abstract

Simple regression using maximization of log likelihood in light of future data is attempted. Conventional maximum likelihood method is regarded as maximization of log likelihood in light of data at hand. Simple regression using maximization of log likelihood in light of future data gives a bias to the gradient. Extent of bias is yielded by the gradient given by least squares and the variance of the gradient. Use of this bias provides better regression equations than the conventional maximum likelihood method in terms of log likelihood in light of future data.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 41 (1), 39-52, 2012

    Japanese Society of Applied Statistics

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