Skew Distributions and the Sizes of Business Firms, Svazek 24

acquired firms aggregate approximately assets assume average beta function Bose-Einstein statistics business firms cells chapter cities concavity concentration measure constant cost curve decreasing derivation distribution of firms economic effects of mergers empirical data equation estimated example expected value explain extreme hypothesis factor firm-size distribution gamma function geometric distribution Gibrat assumption Gibrat's law growth rates Hence if(i income incomplete beta function increased increment individual firms industry largest firm law of proportionate linear log F(i log series distribution logarithmic Mandelbrot mergers and acquisitions minimum negative binomial negative binomial distribution number of firms observed distributions obtained old firm parameter Pareto curve Pareto distribution period phenomena plausible population probability proportional random rank rank-size ratio returns to scale sale at epoch sample sequence simulation skew distribution functions slope stochastic models stochastic process theoretical theory tion total number unit word frequencies Yule distribution