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Gibrat,s Distribution

المؤلف:  Gibrat, R

المصدر:  Les Inégalités économiques. Paris: Recueil Sirey, 1931.

الجزء والصفحة:  ...

6-4-2021

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Gibrat's Distribution

Gibrat's distribution is a continuous distribution in which the logarithm of a variable  has a normal distribution,

(1)

defined over the interval . It is a special case of the log normal distribution

(2)

with  and , and so has distribution function

(3)

The mean, variance, skewness, and kurtosis excess are then given by

			(4)
			(5)
			(6)
			(7)

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REFERENCES:

Gibrat, R. Les Inégalités économiques. Paris: Recueil Sirey, 1931.

Mansfield, E. "Entry, Gibrat's Law, Innovation, and the Growth of Firms." Amer. Econ. Rev. 52, 1023-1051, 1962.