<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

Published Online: Jun 29, 2018

Page range: 5 - 15

Received: Feb 11, 2018

Accepted: Jun 22, 2018

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

Keywords
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

Published Online: Jun 29, 2018

Page range: 5 - 15

Received: Feb 11, 2018

Accepted: Jun 22, 2018

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

Keywordsnonhomogeneous 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.

Keywords
nonhomogeneous Poisson process, nonhomogeneous compound Poisson process, safety characteristics