ABSTRACT

In this chapter, we first explain methods for generating random numbers

that follow various distributions. A unified method for simulating time

series is obtained by using the state-space model. Namely, a realization

of white noise can be obtain by generating random numbers that follow

a specified distribution. In modeling, a time series model is generally

considered an output of a system with a white noise input. Therefore,

if a time series model is given, we can obtain realizations of the sys-

tem by generating a time series that follows the model by using random

numbers.