The uniqueness of firm size distribution function from tent-shaped growth rate distribution
The uniqueness of firm size distribution function from tent-shaped growth rate distribution
复制标题
DOI：
10.1016/j.physa.2007.04.089
复制
发表时间：
2007-09-01
影响因子：
3.3
通讯作者：
Ishikawa, ATushi
中科院分区：
文献类型：
--
作者：
Ishikawa, ATushi
利用日本企业2003年和2004年的利润数据，我们证明了在详细平衡法则下，中等规模利润区域的非吉布拉特法则是唯一的。这唯一地导致利润的概率分布函数（pdf）。在证明中，使用了两个近似。增长率的概率密度函数被描述为帐篷形的指数函数和增长率分布的原点的值是常数。这些近似值在数据库中得到确认。由此产生的利润pdf符合经验数据一致。这保证了近似的有效性。(c)2007 Elsevier B.V.保留所有权利。
Employing profits data of Japanese firms in 2003 and 2004, we report the proof that a Non-Gibrat's law in the middle scale region of profits is unique under the law of detailed balance. This uniquely leads to the probability distribution function (pdf) of profits. In the proof, two approximations are employed. The pdf of growth rate is described as tent-shaped exponential functions and the value of the origin of the growth rate distribution is constant. These approximations are confirmed in the database. The resultant profits pdf fits with the empirical data consistently. This guarantees the validity of the approximations. (c) 2007 Elsevier B.V. All rights reserved.