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The Review of Socionetwork Strategies

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28-09-2022 | Article

Copula-Based Synthetic Data Generation in Firm-Size Variables

Authors: Shouji Fujimoto, Atushi Ishikawa, Takayuki Mizuno

Published in: The Review of Socionetwork Strategies | Issue 2/2022

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Abstract

Using the survival Clayton copula, we propose a method for generating synthetic data on such firm-size variables as operating revenues and the number of employees. Synthetic data must satisfy two stylized facts on firm-size statistics. First, firm-size distributions have power-law tails. Second, there should be a Gibrat’s law for the ratio of two different firm-size variables. With the survival Clayton copula, we introduce random variables whose marginal distributions are uniform on the interval from 0 to 1, and transform them to obey power-law distributions. The resulting variables satisfy the two stylized facts.

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Title: Copula-Based Synthetic Data Generation in Firm-Size Variables
Authors: Shouji Fujimoto
Atushi Ishikawa
Takayuki Mizuno
Publication date: 28-09-2022
Publisher: Springer Nature Singapore
Published in: The Review of Socionetwork Strategies / Issue 2/2022
Print ISSN: 2523-3173
Electronic ISSN: 1867-3236
DOI: https://doi.org/10.1007/s12626-022-00128-6

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