成長曲線群の統一表現とデータ分析への応用

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書誌事項

タイトル別名
  • A Unified Expression of Growth Curves and its Application to Data Analysis

抄録

<p>This paper discusses a methodology for a unified expression of several historically-known growth curves inspired by the Box-Cox transformation. After describing how we construct our unified growth curve, we analyze a sample data set to show its flexibility for curve-fitting performance. Also, it is exhibited that our model can extract a tendency of growth via numerical differentiation technique and linear regression scheme. Moreover, as a method of stochastic analysis of a data set, we newly introduc e a nonzero-started counting process that involves our unified growth curve as its mean value function. We also show a numerical illustration for a short-term prediction with confidence limits.</p>

収録刊行物

  • 応用数理

    応用数理 30 (3), 7-15, 2020-09-24

    一般社団法人 日本応用数理学会

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詳細情報 詳細情報について

  • CRID
    1390568456340191232
  • NII論文ID
    130007962038
  • DOI
    10.11540/bjsiam.30.3_7
  • ISSN
    24321982
  • 本文言語コード
    ja
  • データソース種別
    • JaLC
    • CiNii Articles
    • KAKEN
  • 抄録ライセンスフラグ
    使用不可

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