SIMULATION TO THE TWO BASIC GALTON PROBLEMS

Abstract

In this paper a summary on simulating two basic problems in branching processes which was first posed by Galton, that is the problem of finding the probability of extinction of a branching process and the problem of specifying the distribution of the offspring number in the nth generation. Three distributions were used in this simulation; namely binomial, Poisson and uniform distribution. The algorithms used in this simulation, the results obtained and the conclusions based on these results are all briefly given in this paper. It was seen practically that ,accoording to the simulation assumptions,the most suitable distribution for the first problem from the above three distributions is uniform and the next is Poisson, for the second problem Poisson distribution is the most suitable.