Statistical Law observed in Inactive Rate of Firms

Statistical Law observed in Inactive Rate of Firms
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企业不活跃率的统计规​​律

DOI:
10.1007/s40844-018-0119-4
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发表时间:
2018
影响因子:
0.9
通讯作者:
and Takayuki Mizuno
and Takayuki Mizuno
中科院分区:
--
文献类型:
--
作者:
Atushi Ishikawa;Shouji Fujimoto;and Takayuki Mizuno

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在这项研究中,我们观察到企业的非活跃率对企业规模变量的依赖性:总收入,净收入,总资产和净资产。这是利用2015年和2016年Orbis数据库中记录的日本、德国、西班牙、法国、英国、意大利、韩国和荷兰几乎所有企业的信息实现的。在这里,不活跃率是指企业从活跃状态到不活跃状态的转变率。首先,我们确认该数据库中的金融变量在大规模数据值范围内遵循幂律,但在中等规模数据值范围内遵循对数正态分布。此外,我们观察到,在大规模的数据范围内,企业的闲置率是恒定的,无论企业规模的变量。同时,在中等规模的数据范围内,随着金融变量的减少,非活跃率在幂律函数下增加。我们还发现,大规模和中等规模的数据范围内的企业不活跃率之间的边界对应的幂律和对数正态分布的金融变量之间的边界。
In this study, we observe the dependence of the inactive rate of firms on firm-size variables: total revenue, net income, total assets, and net assets. This is achieved using information on nearly all firms in Japan, Germany, Spain, France, the United Kingdom, Italy, Korea, and the Netherlands recorded in the Orbis database in 2015 and 2016. Here, the inactive rate means the transition rate of firms from an active state to an inactive state. First, we confirm that the financial variables in this database follow power laws in the range of large-scale data values but follow log-normal distributions in the range of mid-scale data values. Furthermore, we observe that the inactive rate of firms is constant regardless of the firm-size variables in the large-scale data range. Meanwhile, the inactive rate increases under a power-law function as financial variables decrease in the mid-scale data range. We also find that the boundary between the large- and mid-scale data ranges of the inactive rate of firms corresponds to the boundary between the power-law and log-normal distributions of the financial variables.