Title


"Power-law behavior in accumulation of the Gibrat process"

Ken Yamamoto (Chuo University)


Abstract


A stochastic process which produces a power-law distribution is proposed. The model has two variables. The first variable, the Gibrat process, is given by random multiplication, and the second variable is the accumulation of this Gibrat process. The distribution of our model is shown to have a stationary power-law tail.