Nonhomogeneous Stochastic Processes Connected to Poisson Process

Franciszek Grabski

doi:10.2478/sjpna-2018-0009

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Nonhomogeneous Stochastic Processes Connected to Poisson Process

Maritime Technical Journal

Volume 213 (2018): Issue 2 (June 2018)

By: Franciszek Grabski

Open Access

|Jun 2018

Abstract

Some generalizations of the Poisson process and their properties are presented in the paper. The non-homogeneous Poisson process allows to construct a probabilistic model describing the different kinds of accidents number. The nonhomogeneous compound Poisson process enables to describe mathematically the various types of accidents consequences. Theoretical results give possibility to anticipate the accidents number and their consequences.

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