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

F. Grabski
{"title":"Nonhomogeneus Generalisations of Poisson Process in the Modeling of Random Processes Related to Road Accidents","authors":"F. Grabski","doi":"10.2478/sjpna-2020-0009","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":34248,"journal":{"name":"Scientific Journal of Polish Naval Academy","volume":"222 1","pages":"29 - 42"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Journal of Polish Naval Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/sjpna-2020-0009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
泊松过程在道路事故随机过程建模中的非齐次推广
摘要随机过程理论提供了一些概念和定理,这些概念和定理允许建立有关事故的概率模型。“计数过程”可用于模拟给定时间间隔内的道路、海上和铁路事故数量。泊松过程及其推广在模型构建中起着至关重要的作用。应用非齐次泊松过程和相应的非齐次复合泊松过程对波兰道路上的道路事故数和伤亡人数进行建模。为了估计模型参数,使用了来自波兰警方年度报告的数据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
审稿时长
12 weeks
期刊最新文献
Possibilities of Detection of the Jamming of the GNSS Receiver with the Helical Antenna An Operational Calculus Model with the (m,n) - Symmetric Difference Tracking of Unmanned Aerial Vehicles Using Computer Vision Methods: A Comparative Analysis Mobile Wheeled Robot to Support the Task of the Alarm Sub - Unit Doppler Effect in 2 × 2 to 4 × 4 Mimo Systems of Wireless Communication with Orthogonal Pilot Channel Estimation
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1