成長曲線群の統一表現とデータ分析への応用
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- 木村 光宏
- 法政大学工学部経営システム工学科
書誌事項
- タイトル別名
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- 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
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- 応用数理
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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
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- CRID
- 1390568456340191232
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- NII論文ID
- 130007962038
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- ISSN
- 24321982
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可