<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The stochastic processes theory provides concepts, and theorems, which allow to build the probabilistic models concerning accidents. “Counting process” can be applied for modelling the number of road, sea, and railway accidents in the given time intervals. A crucial role in construction of the models plays a Poisson process and its generalizations. The nonhomogeneous Poisson process, and the corresponding nonhomogeneous compound Poisson process are applied for modelling the road accidents number, and number of people injured and killed in Polish roads. To estimate model parameters were used data coming from the annual reports of the Polish police.</p></abstract>

The stochastic processes theory provides concepts, and theorems, which allow to build the probabilistic models concerning accidents. “Counting process” can be applied for modelling the number of road, sea, and railway accidents in the given time intervals. A crucial role in construction of the models plays a Poisson process and its generalizations. The nonhomogeneous Poisson process, and the corresponding nonhomogeneous compound Poisson process are applied for modelling the road accidents number, and number of people injured and killed in Polish roads. To estimate model parameters were used data coming from the annual reports of the Polish police.

Nonhomogeneus Generalisations of Poisson Process in the Modeling of Random Processes Related to Road Accidents

Maritime Technical Journal

This work is licensed under the Creative Commons Attribution 4.0 International License.

The stochastic processes theory provides concepts, and theorems, which allow to build the probabilistic models concerning accidents. “Counting process” can be...

Nonhomogeneus Generalisations of Poisson Process in the Modeling of Random Processes Related to Road Accidents

Publié en ligne: 23 oct. 2020

Pages: 29 - 42

DOI: https://doi.org/10.2478/sjpna-2020-0009

Mots clés
road accident, nonhomogeneous Poisson process, nonhomogeneous compound Poisson process

© 2020 Franciszek Grabski, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Nonhomogeneus Generalisations of Poisson Process in the Modeling of Random Processes Related to Road Accidents

Publié en ligne: 23 oct. 2020

Pages: 29 - 42

DOI: https://doi.org/10.2478/sjpna-2020-0009

Mots clésroad accident, nonhomogeneous Poisson process, nonhomogeneous compound Poisson process

© 2020 Franciszek Grabski, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
road accident, nonhomogeneous Poisson process, nonhomogeneous compound Poisson process