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In a Cox model, the partial likelihood, as the product of a series of conditional probabilities, is used to estimate the regression coefficients. In practice, those conditional probabilities are approximated by risk score ratios based on a…

统计方法学 · 统计学 2025-02-27 Youngjin Cho , Yili Hong , Pang Du

Due to recent climate changes, we have seen more frequent and severe wildfires in the United States. Predicting wildfires is critical for natural disaster prevention and mitigation. Advances in technologies in data processing and…

机器学习 · 计算机科学 2022-09-22 Hyung-Jin Yoon , Petros Voulgaris

We determine forest lease value and optimal harvesting strategies under model parameter uncertainty within stochastic bio-economic models that account for catastrophe risk. Catastrophic events are modeled as a Poisson point process, with a…

数理金融 · 定量金融 2025-02-11 Ankush Agarwal , Christian Ewald , Yihan Zou

We propose a Bayesian stochastic cellular automata modeling approach to model the spread of wildfires with uncertainty quantification. The model considers a dynamic neighborhood structure that allows neighbor states to inform transition…

应用统计 · 统计学 2023-06-07 Nicholas Grieshop , Christopher K. Wikle

Wildfire propagation is a highly stochastic process where small changes in environmental conditions (such as wind speed and direction) can lead to large changes in observed behaviour. A traditional approach to quantify uncertainty in…

机器学习 · 计算机科学 2023-09-04 Andrew Bolt , Conrad Sanderson , Joel Janek Dabrowski , Carolyn Huston , Petra Kuhnert

A multivariate fractional Poisson process was recently defined in Beghin and Macci (2016) by considering a common independent random time change for a finite dimensional vector of independent (non-fractional) Poisson processes; moreover it…

概率论 · 数学 2016-09-13 Luisa Beghin , Claudio Macci

This paper examines the use of risk models to predict the timing and location of wildfires caused by electricity infrastructure. Our data include historical ignition and wire-down points triggered by grid infrastructure collected between…

系统与控制 · 电气工程与系统科学 2022-09-28 Mengqi Yao , Meghana Bharadwaj , Zheng Zhang , Baihong Jin , Duncan S. Callaway

Computational simulations of wildfire spread typically employ empirical rate-of-spread calculations under various conditions (such as terrain, fuel type, weather). Small perturbations in conditions can often lead to significant changes in…

机器学习 · 计算机科学 2025-01-14 Andrew Bolt , Carolyn Huston , Petra Kuhnert , Joel Janek Dabrowski , James Hilton , Conrad Sanderson

Due to climate change, the extreme wildfire has become one of the most dangerous natural hazards to human civilization. Even though, some wildfires may be initially caused by human activity, but the spread of wildfires is mainly determined…

机器学习 · 计算机科学 2025-03-13 Qijun Chen , Shaofan Li

In many forest fire incidences, late detection of the fire has lead to severe damages to the forest and human property requiring more resources to gain control over the fire. An early warning and immediate response system can be a promising…

信号处理 · 电气工程与系统科学 2018-10-18 Kaushlendra Pandey , Abhishek Gupta

Recent wildfires in the United States have resulted in loss of life and billions of dollars, destroying countless structures and forests. Fighting wildfires is extremely complex. It is difficult to observe the true state of fires due to…

人工智能 · 计算机科学 2020-10-16 Tina Diao , Samriddhi Singla , Ayan Mukhopadhyay , Ahmed Eldawy , Ross Shachter , Mykel Kochenderfer

The paper proposes a formal estimation procedure for parameters of the fractional Poisson process (fPp). Such procedures are needed to make the fPp model usable in applied situations. The basic idea of fPp, motivated by experimental data…

统计方法学 · 统计学 2018-06-08 Dexter Cahoy , Vladimir V. Uchaikin , Wojbor A. Woyczynski

We consider a fractional counting process with jumps of amplitude $1,2,\ldots,k$, with $k\in \mathbb{N}$, whose probabilities satisfy a suitable system of fractional difference-differential equations. We obtain the moment generating…

概率论 · 数学 2016-03-10 Antonio Di Crescenzo , Barbara Martinucci , Alessandra Meoli

The objective of the present study is twofold. First, the last developments and validation results of a hybrid model designed to simulate fire patterns in heterogeneous landscapes are presented. The model combines the features of a…

大气与海洋物理 · 物理学 2016-02-08 Mohamed Drissi

We present the first framework for Gaussian-process-modulated Poisson processes when the temporal data appear in the form of panel counts. Panel count data frequently arise when experimental subjects are observed only at discrete time…

机器学习 · 统计学 2018-03-13 Hongyi Ding , Young Lee , Issei Sato , Masashi Sugiyama

Wildfire forecasting problems usually rely on complex grid-based mathematical models, mostly involving Computational fluid dynamics(CFD) and Celluar Automata, but these methods have always been computationally expensive and difficult to…

机器学习 · 计算机科学 2023-08-21 Hansong Xiao

The Poisson process is the most elementary continuous-time stochastic process that models a stream of repeating events. It is uniquely characterised by a single parameter called the rate. Instead of a single value for this rate, we here…

概率论 · 数学 2019-06-05 Alexander Erreygers , Jasper De Bock

Accurate spatiotemporal modeling of conditions leading to moderate and large wildfires provides better understanding of mechanisms driving fire-prone ecosystems and improves risk management. We here develop a joint model for the occurrence…

统计方法学 · 统计学 2021-07-15 Jonathan Koh , François Pimont , Jean-Luc Dupuy , Thomas Opitz

With climate change expected to exacerbate fire weather conditions, the accurate anticipation of wildfires on a global scale becomes increasingly crucial for disaster mitigation. In this study, we utilize SeasFire, a comprehensive global…

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…