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Titlebook: Statistical Properties in Firms’ Large-scale Data; Atushi Ishikawa Book 2021 The Editor(s) (if applicable) and The Author(s), under exclus

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,Long-Term Firm Growth Derived from Non-Gibrat’s Property and Gibrat’s Law,irm-size variables) on firm age in Japan and France from 2010 to 2013. As a result, we confirmed that the geometric mean value of the firm-size variables obeys a power-law growth for its first 10 years and subsequently follows exponential growth. Using numerical simulations, these long-term properti
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Statistical Properties in Inactive Rate of Firms,al assets, and net assets. We used worldwide information on German, Spanish, French, British, Italian, Japanese, Korean, and Dutch firms recorded in the 2015 and 2016 editions of the comprehensive Orbis database of listed and unlisted firms. We confirmed that the inactive rate of firms is constant r
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,Long-Term Firm Growth Derived from Non-Gibrat’s Property and Gibrat’s Law,es of firm-size growth were derived from short-term growth law and properties that were observed in two successive years. First, early power-law growth under a size threshold comes from the extended non-Gibrat’s property. Second, subsequent exponential growth over the threshold is derived from Gibrat’s law.
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Book 2021og-normal distributions observed at a given time and their changes using time-reversal symmetry, quasi-time-reversal symmetry, Gibrat‘s law, and the non-Gibrat‘s property observed in a short-term period are derived here. The statistical properties observed over a long-term period, such as power-law
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Atushi IshikawaProvides knowledge of how to analyze firms’ financial data based on empirical data.Facilitates understanding of the statistical properties of firms’ financial data and their relationship.Explains the
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