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A discrete-time stochastic process derived from a model of basketball is used to generalize any discrete distribution. The generalized distributions can have one or two more parameters than the parent distribution. Those derived from…

应用统计 · 统计学 2020-06-25 Rose Baker

Proportional hazards (PH), proportional odds (PO) and accelerated failure time (AFT) models have been widely used to deal with survival data in different fields of knowledge. Despite their popularity, such models are not suitable to handle…

统计方法学 · 统计学 2019-10-08 Fabio N. Demarqui , Vinicius D. Mayrink

Analysis of the dynamic relationship between traffic accident events and road network topology based on connectivity and graph analytics offers a new approach to identifying, ranking and profiling traffic accident high risk-locations at…

社会与信息网络 · 计算机科学 2022-05-09 Iyke Maduako , Elijah Ebinne , Victus Uzodinma , Chukwuma Okolie , Emmanuel Chiemelu

The existence and consistency of a maximum likelihood estimator for the joint probability distribution of random parameters in discrete-time abstract parabolic systems are established by taking a nonparametric approach in the context of a…

统计方法学 · 统计学 2023-04-26 Lernik Asserian , Susan E. Luczak , I. G. Rosen

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

统计方法学 · 统计学 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

In recent years, automotive technology has made a steady progress. In particular, Advanced Driver Assistance System (ADAS) has enabled many safety features in commercial vehicles, for instance, pedestrian detection, lane keeping assist,…

系统与控制 · 电气工程与系统科学 2022-12-26 Avinash Prabu , Lingxi Li , Brian King , Yaobin Chen

We consider the problem of goodness-of-fit testing for a model that has at least one unknown parameter that cannot be eliminated by transformation. Examples of such problems can be as simple as testing whether a sample consists of…

统计方法学 · 统计学 2021-04-28 Sean van der Merwe

This paper proposes a nonparametric multivariate density forecast model based on deep learning. It not only offers the whole marginal distribution of each random variable in forecasting targets, but also reveals the future correlation…

系统与控制 · 电气工程与系统科学 2022-10-28 Zichao Meng , Ye Guo , Wenjun Tang , Hongbin Sun

Modelling excesses over a high threshold using the Pareto or generalized Pareto distribution (PD/GPD) is the most popular approach in extreme value statistics. This method typically requires high thresholds in order for the (G)PD to fit…

统计理论 · 数学 2009-01-13 Jan Beirlant , Elisabeth Joossens , Johan Segers

We consider discrete graphical models Markov with respect to a graph $G$ and propose two distributed marginal methods to estimate the maximum likelihood estimate of the canonical parameter of the model. Both methods are based on a…

机器学习 · 统计学 2013-10-22 Helene Massam , Nanwei Wang

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

机器学习 · 计算机科学 2023-10-12 Jincheng Wang , Yue Gao

Road accidents have significant economic and societal costs, with a small number of severe accidents accounting for a large portion of these costs. Predicting accident severity can help in the proactive approach to road safety by…

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

We consider a Prohorov metric-based nonparametric approach to estimating the probability distribution of a random parameter vector in discrete-time abstract parabolic systems. We establish the existence and consistency of a least squares…

统计方法学 · 统计学 2023-04-25 Lernik Asserian , Suzan E. Luczak , I. G. Rosen

Accurate and robust recognition and prediction of traffic situation plays an important role in autonomous driving, which is a prerequisite for risk assessment and effective decision making. Although there exist a lot of works dealing with…

人工智能 · 计算机科学 2018-09-11 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

Estimating the number of migrants who die or go missing along dangerous routes such as the Central Mediterranean remains challenging as available records are incomplete. Some incidents are never documented, and fatalities associated with…

应用统计 · 统计学 2026-03-23 Gregor Zens , Zoe Sigman

This paper presents the first application of Gaussian Mixture Copula Models to the statistical modeling of driving scenarios for the safety validation of automated driving systems. Knowledge of the joint probability distribution of scenario…

机器人学 · 计算机科学 2026-01-27 Christian Reichenbächer , Philipp Rank , Jochen Hipp , Oliver Bringmann

Modelling of precipitation, including extremes, is important for hydrological and agricultural applications. Traditionally, because of large sample properties for data over a large threshold value, generalised Pareto (GP) distributions are…

应用统计 · 统计学 2014-11-11 Yang Liu , Philip Kokic , K. Shuvo Bakar

Accident detection is a vital part of traffic safety. Many road users suffer from traffic accidents, as well as their consequences such as delay, congestion, air pollution, and so on. In this study, we utilize two advanced deep learning…

Anticipating traffic accidents is a critical yet unresolved problem for autonomous driving, hindered by the inherent complexity of modeling interactions between road users and the limited availability of diverse, large-scale datasets. To…

计算机视觉与模式识别 · 计算机科学 2026-05-04 Yanchen Guan , Haicheng Liao , Chengyue Wang , Xingcheng Liu , Jiaxun Zhang , Keqiang Li , Zhenning Li