«Simplified» forms of periodicity of Poisson processes and their intensity assessment

Abstract

The periodic Poisson flows are not rare in real world. But evaluation of their periodic intensity still is an open question. The investigation under discussion has proved that: it is impossible to use the method of maximum likelihood to build the unique estimate of unsteady flow intensity depending on two or more parameters; the unique estimate, which is unbiased, opportune and effective, is possible only for certain stream sections where an unsteady in general flow is nevertheless stationary. The class of flows is separated, for which development of methods for their intensity evaluation is possible. The investigation results open the way for evaluation of intensity of empirical stochastically periodical Poisson's type streams, for example calls to first aid station, data streams in the Internet, etc.