企业成长率的广义偏好依恋模型:I。经验证据
A Generalized Preferential Attachment Model for Business Firms Growth Rates: I. Empirical Evidence
摘要:
我们引入一个比例增长模型来解释企业增长率的分布$P(g)$。该模型预测$P(g)$在中心部分是拉普拉斯,并在尾部描述了指数为$ζ=3$的渐进幂律行为。由于数据的限制,以前在这一领域的研究一直专注于拉普拉斯形状的身体的分布。我们在经济的不同聚集水平上测试了模型,从产品到公司,再到国家,我们发现它的预测与增长分布和规模方差关系的经验证据吻合得很好。
英文摘要:
We introduce a model of proportional growth to explain the distribution $P(g)$ of business firm growth rates. The model predicts that $P(g)$ is Laplace in the central part and depicts an asymptotic power-law behavior in the tails with an exponent $ζ=3$. Because of data limitations, previous studies in this field have been focusing exclusively on the Laplace shape of the body of the distribution. We test the model at different levels of aggregation in the economy, from products, to firms, to countries, and we find that the its predictions are in good agreement with empirical evidence on both growth distributions and size-variance relationships.
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