Measurement of the moments of a pulsed random Poisson process

Consideration is given to differences in the behavior of simple and complex random processes, taking the measurement of moments of random processes as an example. It is shown that, for complex non-Gaussian random processes, the time of averaging of moments of different orders, which assures the same accuracy of measurement, depends significantly on the order of the measured moment. As an example, attention is given to a model of a random Poisson process that makes it possible to describe simple as well as complex non-Gaussian random processes.