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The Emergence of Different Tail Exponents in the Distributions of Firm Size Variables
http://hdl.handle.net/2261/53028
http://hdl.handle.net/2261/53028ef45a7a1-19ca-415e-886f-08cb48f3d3f7
名前 / ファイル | ライセンス | アクション |
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wp003.pdf (442.0 kB)
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Item type | テクニカルレポート / Technical Report(1) | |||||
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公開日 | 2015-05-11 | |||||
タイトル | ||||||
タイトル | The Emergence of Different Tail Exponents in the Distributions of Firm Size Variables | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | econophysics | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | power law | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Gibrat's law | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | inversion symmetry | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_18gh | |||||
タイプ | technical report | |||||
著者 |
Ishikawa, Atushi
× Ishikawa, Atushi× Fujimoto, Shouji× Watanabe, Tsutomu× Mizuno, Takayuki |
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著者所属 | ||||||
著者所属 | Department of Informatics and Business, Faculty of Business Administration and Information Science, Kanazawa Gakuin University | |||||
著者所属 | ||||||
著者所属 | Graduate School of Economics, University of Tokyo | |||||
著者所属 | ||||||
著者所属 | Doctoral Program in Computer Science, Graduate School of Systems and Information Engineering, University of Tsukuba | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We discuss a mechanism through which inversion symmetry (i.e., invariance of a joint probability density function under the exchange of variables) and Gibrat's law generate power-law distributions with different tail exponents. Using a dataset of firm size variables, that is, tangible fixed assets K, the number of workers L, and sales Y, we confirm that these variables have power-law tails with different exponents, and that inversion symmetry and Gibrat's law hold. Based on these findings, we argue that there exists a plane in the three dimensional space (log K, log L, log Y), with respect to which the joint probability density function for the three variables is invariant under the exchange of variables. We provide empirical evidence suggesting that this plane fits the data well, and argue that the plane can be interpreted as the Cobb-Douglas production function, which has been extensively used in various areas of economics since it was first introduced almost a century ago. | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 2012~2016年度科学研究費補助金[基盤研究(S)]「長期デフレの解明」(研究代表者 東京大学経済学研究科・渡辺努, 課題番号:24223003) | |||||
書誌情報 |
JSPS Grants-in-Aid for Scientific Research (S) Understanding Persistent Deflation in Japan Working Paper Series 巻 003, 発行日 2012-12 |
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日本十進分類法 | ||||||
主題 | 331 | |||||
主題Scheme | NDC | |||||
出版者 | ||||||
出版者 | UTokyo Price Project | |||||
関係URI | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://www.price.e.u-tokyo.ac.jp/researchdata/ | |||||
異版あり | ||||||
関連タイプ | hasVersion | |||||
識別子タイプ | URI | |||||
関連識別子 | http://www.carf.e.u-tokyo.ac.jp/workingpaper/detail.cgi_3fe9e3c02e46dbebd047df86ec862538d5.html |