The renewal process generated by the uniform distribution, when
interpreted as a transformation of the uniform distribution into a discrete
distribution, gives rise to the question of uniqueness of the inverse image.
The paper deals with a particular problem from the described domain,
that arose in the construction of a complex stochastic test intended to
evaluate pseudo-random number generators. The connection of the
treated problem with the question of a unique integral representation of
Gamma-function is also mentioned.
This paper analyses the influence of experiment parameters onto the reliability of experiments with genetic programming algorithms. The paper is focused on the required number of experiments and especially on the influence of parallel execution which affect not only the order of thread execution but also behaviors of pseudo random number generators, which frequently do not respect recommendation of C++11 standard and are not implemented as thread safe. The observations and the effect of the suggested improvements are demonstrated on results of 720,000 experiments.
A comparison of four pseudo random number generators implemented in Ada
