A STUDY ON A GROWTH CURVE USING BOX-COX TRANSFORMATION AND INCOMPLETE GAMMA FUNCTION

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Other Title
  • Box-Cox変換と不完全ガンマ関数を用いた成長曲線に関する研究

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Description

In the time series data analysis, growth curves have been playing an important role to forecast the future trend of the dataset for example. Among such curves, Gomperz and logistic ones are widely-known formulas in the literature. In this study, based on the recent developments for the modeling, we propose a unified expression of several kinds of growth curves by utilizing the Box-Cox transformation. The obtained formula consists of the incomplete gamma function and provides high flexibility. We show the method of parameters estimation and the actual data analysis are also provided. As a result of the model verification, we found that the fitting performance of our model was improved than the existing models.

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Details 詳細情報について

  • CRID
    1390853649755101184
  • NII Article ID
    120006715064
  • NII Book ID
    AA12677220
  • DOI
    10.15002/00022088
  • HANDLE
    10114/00022088
  • ISSN
    21879923
  • Text Lang
    ja
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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