Temat: Nonhomogeneous Poisson - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Nonhomogeneous poisson process and compound poisson process in the modelling of random processes related to road accidents
Autorzy:: Grabski, Franciszek
Powiązania:: https://bibliotekanauki.pl/articles/244724.pdf
Data publikacji:: 2019
Wydawca:: Instytut Techniczny Wojsk Lotniczych
Tematy:: road accident
nonhomogeneous Poisson process
nonhomogeneous compound Poisson process
Opis:: The stochastic processes theory provides concepts and theorems that allow building probabilistic models concerning accidents. So called counting process can be applied for modelling the number of the 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 new theoretical results regarding compound Poisson process are presented in the paper. A nonhomogeneous Poisson process and the corresponding nonhomogeneous compound Poisson process are applied for modelling the road accidents number and number of injured and killed people in the Polish road. To estimate model parameters were used data coming from the annual reports of the Polish police [9, 10]. Constructed models allowed anticipating number of accidents at any time interval with a length of h and the accident consequences. We obtained the expected value of fatalities or injured and the corresponding standard deviation in the given time interval. The statistical distribution of fatalities number in a single accident and statistical distribution of injured people number and also probability distribution of fatalities or injured number in a single accident are computed. It seems that the presented examples explain basic concepts and results discussed in the paper.
Źródło:: Journal of KONES; 2019, 26, 1; 39-46
1231-4005
2354-0133
Pojawia się w:: Journal of KONES
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Nonhomogeneous compound Poisson process application to modeling of random processes related to accidents in the Baltic Sea waters and ports
Autorzy:: Grabski, F.
Powiązania:: https://bibliotekanauki.pl/articles/2068741.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:: nonhomogeneous Poisson process
nonhomogeneous compound Poisson process
safety characteristics
Opis:: A crucial role in construction of the models related to accidents on Baltic Sea water and ports play nonhomogeneous Poisson and nonhomogeneous compound Poisson process. The model of consequences and connected to it model of accidents number on Baltic sea waters and ports are here presented. Moreover some procedures of the models parameters identification are presented in the paper. Estimation of some model parameters was made based on data from reports of HELCOM [10, 11], Interreg project Baltic LINes [9] and EMSA [13].
Źródło:: Journal of Polish Safety and Reliability Association; 2018, 9, 3; 21--30
2084-5316
Pojawia się w:: Journal of Polish Safety and Reliability Association
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Application of the Nonhomogeneous Poisson Process for Counting Earthquakes
Autorzy:: Sumiati, Ira
Rahmani, Ulfa
Supian, Sudradjat
Subiyanto, Subiyanto
Powiązania:: https://bibliotekanauki.pl/articles/1062838.pdf
Data publikacji:: 2019
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Nonhomogeneous Poisson processes
earthquakes
simple linear regression
Opis:: Nonhomogeneous Poisson processes are Poisson processes with parameters that depend on time and not constant from time to time, also mutually independent. In addition, the probability of no occurrence in the initial state is one and the probability of the n event in the initial state is zero. In this study, nonhomogeneous Poisson processes were applied to predict and count the number of earthquake events in Indonesia. Because earthquakes that occur in Indonesia from one month to the next do not affect each other and the numbers are not the same, by not paying attention to the geophysical cause of the earthquake. The data used in the study is the occurrence of earthquakes in Indonesia from January 2016 to July 2018, sourced from the Meteorology, Climatology and Geophysics Agency obtained online. The results were obtained that the odds of predicting dan counting the occurrence of earthquakes in Indonesia in the first week of December 2018 were around 184 times with a standard deviation of around 14 times.
Źródło:: World Scientific News; 2019, 127, 3; 163-176
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Nonhomogeneous stochastic processes connected to Poisson process
NIiejednorodne procesy stochastyczne związane z procesem Poissona
Autorzy:: Grabski, F.
Powiązania:: https://bibliotekanauki.pl/articles/223389.pdf
Data publikacji:: 2018
Wydawca:: Akademia Marynarki Wojennej. Wydział Dowodzenia i Operacji Morskich
Tematy:: nonhomogeneous Poisson process
nonhomogeneous compound Poisson process
safety characteristics
niejednorodny proces Poissona
niejednorodny złożony proces Poissona
charakterystyki bezpieczeństwa
Opis:: 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.
W artykule przedstawiono wybrane uogólnienia procesu Poissona i ich własności. Skupiono się na dwóch uogólnieniach — niejednorodnym procesie Poissona i niejednorodnym złożonym procesie Poissona. Niejednorodny proces Poissona pozwala na skonstruowanie modelu probabi-listycznego opisującego liczbę różnych rodzajów wypadków. Niejednorodny złożony proces Poissona pozwala matematycznie opisywać konsekwencje tych wypadków. Przedstawione tu wyniki teoretyczne dają możliwość przewidywania liczby wypadków i ich konsekwencji.
Źródło:: Zeszyty Naukowe Akademii Marynarki Wojennej; 2018, R. 59 nr 2 (213), 2 (213); 5-15
0860-889X
Pojawia się w:: Zeszyty Naukowe Akademii Marynarki Wojennej
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Random models of accidents at Baltic Port and sea water areas
Autorzy:: Grabski, Franciszek
Powiązania:: https://bibliotekanauki.pl/articles/2068696.pdf
Data publikacji:: 2019
Wydawca:: Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:: Nonhomogeneous Poisson
compound Poisson process
accidents in the Baltic Sea waters and ports
Opis:: The stochastic processes theory provides concepts and theorems that allow to build probabilistic models concerning incidents or (and) accidents in the Baltic Sea waters and ports. A crucial role in construction of the models plays a Poisson process and its extensions; especially a nonhomogeneous Poisson process and nonhomogeneous compound Poisson process. The nonhomogeneous Poisson process allows to build models of accidents number in the sea and seaports. The nonhomogeneous compound Poisson process creates the possibility of constructing models describing the consequences of dangerous events and marine accidents. Moreover some procedures of the model parameters identification are presented in the paper. Estimation of model parameters was made based on data from reports of HELCOM (2014) and Interreg project Baltic LINes (2016). The expected number of accidents often depends on changing randomly external conditions. Thus it can be assumed that the parameter γ is a random variable. In the paper is assumed that this random variable has a gamma distribution.
Źródło:: Journal of Polish Safety and Reliability Association; 2019, 10, 1; 59--70
2084-5316
Pojawia się w:: Journal of Polish Safety and Reliability Association
Dostawca treści:: Biblioteka Nauki

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