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Modelling wildfire events has been studied in the literature using the Poisson process, which essentially assumes the independence of wildfire events. In this paper, we use the fractional Poisson process to model the wildfire occurrences in…

Applications · Statistics 2024-11-22 Sudeep R. Bapat , Aditya Maheshwari

The damage to residential buildings caused by hurricane-induced hazards is significant in the United States. There is a substantial body of research related to assessing physical damages to residential buildings and their direct economic…

Physics and Society · Physics 2022-07-29 S. Amin Enderami , Ram K. Mazumder , Elaina J. Sutley

The increasing frequency and intensity of extreme weather events is significantly affecting the power grid, causing large-scale outages and impacting power system resilience. Yet limited work has been done on systematically modeling the…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Apsara Adhikari , Charlotte Wertz , Anamika Dubey , Arslan Ahmad , Ian Dobson

For civil structures, structural damage due to severe loading events such as earthquakes, or due to long-term environmental degradation, usually occurs in localized areas of a structure. A new sparse Bayesian probabilistic framework for…

Applications · Statistics 2015-07-02 Yong Huang , James L. Beck

We develop a Bayesian median autoregressive (BayesMAR) model for time series forecasting. The proposed method utilizes time-varying quantile regression at the median, favorably inheriting the robustness of median regression in contrast to…

Applications · Statistics 2020-12-08 Zijian Zeng , Meng Li

This paper proposes Fourier-based and wavelet-based techniques for analyzing periodic financial time series. Conventional models such as the periodic autoregressive conditional heteroscedastic (PGARCH) and periodic autoregressive…

Methodology · Statistics 2025-05-12 Rhea Davis , N. Balakrishna

The prediction of future insurance claims based on observed risk factors, or covariates, help the actuary set insurance premiums. Typically, actuaries use parametric regression models to predict claims based on the covariate information.…

Methodology · Statistics 2026-04-14 Mostafa Shams Esfand Abadi , Kaushik Ghosh

Post-earthquake hazard and impact estimation are critical for effective disaster response, yet current approaches face significant limitations. Traditional models employ fixed parameters regardless of geographical context, misrepresenting…

Machine Learning · Statistics 2025-04-08 Xuechun Li , Shan Gao , Runyu Gao , Susu Xu

In this paper, we predict severity of extreme weather events (tropical storms, hurricanes, etc.) using buoy data time series variables such as wind speed and air temperature. The prediction/forecasting method is based on various forecasting…

Applications · Statistics 2019-11-21 Vikas Ramachandra

A fundamental theoretical limitation undermines current disaster risk models: existing approaches suffer from two critical constraints. First, conventional damage prediction models remain predominantly deterministic, relying on fixed…

Methodology · Statistics 2025-02-04 Mary Lai O. Salvaña

The appropriateness of the Poisson model is frequently challenged when examining spatial count data marked by unbalanced distributions, over-dispersion, or under-dispersion. Moreover, traditional parametric models may inadequately capture…

Methodology · Statistics 2025-03-26 Mahsa Nadifar , Andriette Bekker , Mohammad Arashi , Abel Ramoelo

Hurricanes rank among the most destructive natural hazards. They are complex phenomena that can cause both direct damage along their path and indirect impacts due to heavy rainfall and strong winds, with effects varying according to…

Atmospheric and Oceanic Physics · Physics 2025-06-26 Manrique Camacho , Amanda Cedeño , Luis A. Barboza , Shu Wei Chou-Chen , Mario J. Gómez , Hugo G. Hidalgo

This paper addresses the pattern of damage, and investigates its properties, of a theoretical hail storm which gathers in intensity before subsiding, and which travels linearly across the landscape at constant velocity. We start by assuming…

Probability · Mathematics 2013-11-26 Paul C. Kettler , Georg Muntingh

During hurricane seasons, emergency managers and other decision makers need accurate and `on-time' information on potential storm surge impacts. Fully dynamical computer models, such as the ADCIRC tide, storm surge, and wind-wave model take…

Neural and Evolutionary Computing · Computer Science 2016-09-26 Anton Bezuglov , Brian Blanton , Reinaldo Santiago

Tropical cyclone-induced coastal hazards can significantly damage coastal infrastructure, and these risks may intensify under future climate change. As a result, there is increasing interest in conducting comprehensive assessments of…

Atmospheric and Oceanic Physics · Physics 2026-04-20 Ziyue Liu , Michelle T. Bensi

In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model…

Computational Physics · Physics 2025-09-24 Shubham Rai , Badri Prasad Patel

Hurricanes cause widespread destruction, resulting in diverse damage types and severities that require timely and accurate assessment for effective disaster response. While traditional single-label classification methods fall short of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Zhangding Liu , Neda Mohammadi , John E. Taylor

Atlantic Canada faces significant hurricane threats from damaging winds and coastal flooding that are projected to intensify under climate change. This study adopts a two-stage framework. First, the evolution of wind and coastal-flood…

Atmospheric and Oceanic Physics · Physics 2025-10-24 Saeed Saviz Naeini , Reda Snaiki , Alejandro Di Luca

Robust Bayesian models are appealing alternatives to standard models, providing protection from data that contains outliers or other departures from the model assumptions. Historically, robust models were mostly developed on a case-by-case…

Machine Learning · Statistics 2016-09-08 Chong Wang , David M. Blei

The occurrence of extreme events like heavy precipitation or storms at a certain location often shows a clustering behaviour and is thus not described well by a Poisson process. We construct a general model for the inter-exceedance times in…

Methodology · Statistics 2025-09-16 Christina Mathieu , Katharina Hees , Roland Fried