Simulation of Random Samples

A computer can give a series of random numbers fairly well-distributed in a certain region. For any sort of probability distribution P(x), it is easy to prove that the sum-integrated Z(X1)=∫x1a P(x)dx is also randomly well-distri-buted in the region 0, 1. With the computer random-number-gcncrator, it is favourable to simulate a random sample which satisfied a certain probability distribution. This method is vey useful not only in Astronomy but also in other sciences.