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Bayesian hierarchical models are proposed for modeling tropical cyclone characteristics and their damage potential in the Atlantic basin. We model the joint probability distribution of tropical cyclone characteristics and their damage…

Applications · Statistics 2025-06-13 Lindsey Dietz , Sakshi Arya , Vishal Subedi , Auroop R. Ganguly , Snigdhansu Chatterjee

High-dimensional spatially correlated covariates are common in regression models encountered in environmental sciences and other fields. In such models, the regression coefficients often exhibit a sparse structure with spatial dependence.…

Methodology · Statistics 2026-05-08 Zihan Zhu , Xueying Tang , Shuang Zhou

Important models in insurance, for example the Carm{\'e}r--Lundberg theory and the Sparre Andersen model, essentially rely on the Poisson process. The process is used to model arrival times of insurance claims. This paper extends the…

Statistics Theory · Mathematics 2019-04-16 Arun Kumar , Nikolai Leonenko , Alois Pichler

Seasonal point processes refer to stochastic models for random events which are only observed in a given season. We develop nonparametric Bayesian methodology to study the dynamic evolution of a seasonal marked point process intensity. We…

Applications · Statistics 2016-08-08 Sai Xiao , Athanasios Kottas , Bruno Sansó

Conventional hurricane track generation methods typically depend on biased outputs from Global Climate Models (GCMs), which undermines their accuracy in the context of climate change. We present a novel dynamic bias correction framework…

Atmospheric and Oceanic Physics · Physics 2025-05-05 Reda Snaiki , Teng Wu

This paper presents a modeling approach for probabilistic estimation of hurricane wind-induced damage to infrastructural assets. In our approach, we employ a Nonhomogeneous Poisson Process (NHPP) model for estimating spatially-varying…

Applications · Statistics 2021-05-11 Derek Chang , Kerry Emanuel , Saurabh Amin

We compare two methods for making predictions of the climatological distribution of the number of hurricanes making landfall along short sections of the North American coastline. The first method uses local data, and the second method uses…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Tim Hall , Stephen Jewson

Florida is particularly vulnerable to hurricanes, which frequently cause substantial economic losses. While prior studies have explored specific contributors to hurricane-induced damage, few have developed a unified framework capable of…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Bolin Shen , Eren Erman Ozguven , Yue Zhao , Guang Wang , Yiqun Xie , Yushun Dong

This paper develops a spatiotemporal probabilistic impact assessment framework to analyze and quantify the compounding effect of hurricanes and storm surges on the bulk power grid. The probabilistic synthetic hurricane tracks are generated…

Physics and Society · Physics 2022-12-13 Abodh Poudyal , Charlotte Wertz , Amy Mi Nguyen , Sajjad Uddin Mahmud , Vibha Gunturi , Anamika Dubey

This paper describes a novel machine learning (ML) framework for tropical cyclone intensity and track forecasting, combining multiple ML techniques and utilizing diverse data sources. Our multimodal framework, called Hurricast, efficiently…

Machine Learning · Computer Science 2022-11-04 Léonard Boussioux , Cynthia Zeng , Théo Guénais , Dimitris Bertsimas

Conditional autoregressive (CAR) models are commonly used to capture spatial correlation in areal unit data, and are typically specified as a prior distribution for a set of random effects, as part of a hierarchical Bayesian model. The…

Applications · Statistics 2012-05-17 Duncan Lee , Richard Mitchell

A new forecasting method based on the concept of the profile predictive the likelihood function is proposed for discrete-valued processes. In particular, generalized autoregressive and moving average (GARMA) models for Poisson distributed…

Applications · Statistics 2018-07-10 Siuli Mukhopadhyay , V. Sathish

The Poisson log-normal model is a latent variable model that provides a generic framework for the analysis of multivariate count data. Inferring its parameters can be a daunting task since the conditional distribution of the latent…

Computation · Statistics 2026-05-19 Julien Stoehr , Stephane S. Robin

Tropical cyclones present a serious threat to many coastal communities around the world. Many numerical weather prediction models provide deterministic forecasts with limited measures of their forecast uncertainty. Standard postprocessing…

Applications · Statistics 2022-11-01 Stephen A. Walsh , Marco A. R. Ferreira , Dave Higdon , Stephanie Zick

Tropical storms cause extensive property damage and loss of life, making them one of the most destructive types of natural hazards. The development of predictive models that identify interventions effective at mitigating storm impacts has…

Atmospheric and Oceanic Physics · Physics 2025-09-24 Jared Markowitz , Alexander New , Jennifer Sleeman , Chace Ashcraft , Jay Brett , Gary Collins , Stella In , Nathaniel Winstead

Projections of storm surge return levels are a basic requirement for effective management of coastal risks. A common approach to estimate hazards posed by extreme sea levels is to use a statistical model, which may use a time series of a…

Applications · Statistics 2018-08-28 Tony E. Wong

Storm surge, the onshore rush of sea water caused by the high winds and low pressure associated with a hurricane, can compound the effects of inland flooding caused by rainfall, leading to loss of property and loss of life for residents of…

Applications · Statistics 2009-09-29 Brian J. Reich , Montserrat Fuentes

The advents of Artificial Intelligence (AI)-driven models marks a paradigm shift in risk management strategies for meteorological hazards. This study specifically employs tropical cyclones (TCs) as a focal example. We engineer a…

Atmospheric and Oceanic Physics · Physics 2024-04-30 Kairui Feng , Dazhi Xi , Wei Ma , Cao Wang , Yuanlong Li , Xuanhong Chen

We present a statistical model for the unconditional mean tracks of hurricanes. Our model is a semi-parametric scheme that averages together observed hurricane displacements. It has a single parameter that defines the averaging length…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Tim Hall , Stephen Jewson

This article presents a holistic compound Poisson regression model framework to forecast number of corner kicks taken in association football. Corner kick taken events are often decisive in the match outcome and inherently arrive in batch…

Applications · Statistics 2023-11-08 Stan Yip , Yinghong Zou , Ronald Tsz Hin Hung , Ka Fai Cedric Yiu
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