<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Nonhomogeneous Stochastic Processes Connected to Poisson Process

Polish Naval Academy, Faculty of Mechanical and Electrical Engineering

Maritime Technical Journal

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Nonhomogeneous Stochastic Processes Connected to Poisson Process"}

Some generalizations of the Poisson process and their properties are presented in the paper. The non-homogeneous Poisson process allows to construct a...

Nonhomogeneous Stochastic Processes Connected to Poisson Process

Publié en ligne: 29 juin 2018

Pages: 5 - 15

Reçu: 11 févr. 2018

Accepté: 22 juin 2018

DOI: https://doi.org/10.2478/sjpna-2018-0009

Mots clés
nonhomogeneous Poisson process, nonhomogeneous compound Poisson process, safety characteristics

© 2018 Franciszek Grabski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Nonhomogeneous Stochastic Processes Connected to Poisson Process

Publié en ligne: 29 juin 2018

Pages: 5 - 15

Reçu: 11 févr. 2018

Accepté: 22 juin 2018

DOI: https://doi.org/10.2478/sjpna-2018-0009

Mots clésnonhomogeneous Poisson process, nonhomogeneous compound Poisson process, safety characteristics

© 2018 Franciszek Grabski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
nonhomogeneous Poisson process, nonhomogeneous compound Poisson process, safety characteristics