Poisson process is a random set, which analyses an occurrence of the independent
random points in a certain set. An object of study are probabilistic properties of this
random set. Basic definitions and properties are formulated for the Euclidean spaces
of arbitrary dimension and used to simulate different types of Poisson processes.
We provide the algoritm procedures and source codes for each simulation. Statistical
test of complete spatial randomness (CSR) verifies in conclusion, if the simulated
processes are really homogeneous Poisson processes with specific properties.