Monte Carlo Method Application and Generation of Random Numbers by Usage of Numerical Methods

Abstract

Social scientists increasingly use statistical simulation techniques to help them understand the social processes they care about and the statistical methods used to study them. There are two types of computer simulation techniques, which are quickly becoming essential tools for empirical social scientists: Monte Carlo simulation and resampling methods. This chapter is dealing with Monte Carlo method that is very often used for simulating systems with many coupled degrees of freedom, for simulation of experiments in many areas of research, for investigation of processes with a random character and is most useful when it is difficult to use other approaches. The chapter presents some methods of generating random numbers by usage of standard numerical methods for various probability distributions types as well as application possibility of Monte Carlo method for a CA-simulation of the random processes.