The Generation of Pseudo-random Numbers and the Testing.

Abstract

Random numbers are necessary for the calculation according to the Monte Carlo method and simulation of phenomenon in probability. The sequeqce of pseudo-random numbers which generates random numbers in the computer by certain method of calculation, is often used in statistics. Middle-square method, multiplicative congruence method and mixed congruence method are already known as generating method of pseudo-random numbers. On this note we would like to present the middle-multication method and compare this method with the above three ones. We have described the result of testing statistical hypothesis on goodness of fit and independency for them. In addition, we have calculated the period of mixed congruence method.