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Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

机器学习 · 计算机科学 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

The Log-Gaussian Cox Process is a commonly used model for the analysis of spatial point patterns. Fitting this model is difficult because of its doubly-stochastic property, i.e., it is an hierarchical combination of a Poisson process at the…

统计计算 · 统计学 2017-01-05 Ming Teng , Farouk S. Nathoo , Timothy D. Johnson

The physical and economic damages of hurricanes can acutely affect employment and the well-being of employees. However, a comprehensive understanding of these impacts remains elusive as many studies focused on narrow subsets of regions or…

计量经济学 · 经济学 2024-05-28 Gan Zhang , Wenjun Zhu

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

统计方法学 · 统计学 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

Short-term forecasting is an important tool in understanding environmental processes. In this paper, we incorporate machine learning algorithms into a conditional distribution estimator for the purposes of forecasting tropical cyclone…

机器学习 · 统计学 2020-08-19 David B. Huberman , Brian J. Reich , Howard D. Bondell

A theoretical formulation for the early stage (Tropical Storm stage) of hurricane development is proposed. These solutions are not only consistent with observations but also offer some new insights into hurricane properties. This is the…

大气与海洋物理 · 物理学 2007-05-23 Chanh Q. Kieu

This paper demonstrates how principle component analysis can be used to determine the distinct factors that house the terms that explain the variance among the co-dependent variables and how non-response analysis can be applied to model the…

应用统计 · 统计学 2016-03-28 Rebecca D. Wooten , J. D'Andrea

In this study, we examine a Bayesian approach to analyze extreme daily rainfall amounts and forecast return-levels. Estimating the probability of occurrence and quantiles of future extreme events is important in many applications, including…

应用统计 · 统计学 2022-08-29 Douglas E. Johnston

The Tweedie Compound Poisson-Gamma model is routinely used for modeling non-negative continuous data with a discrete probability mass at zero. Mixed models with random effects account for the covariance structure related to the grouping…

机器学习 · 统计学 2019-02-05 Yaodong Yang , Rui Luo , Yuanyuan Liu

Mixture autoregressive (MAR) models provide a flexible way to model time series with predictive distributions which depend on the recent history of the process and are able to accommodate asymmetry and multimodality. Bayesian inference for…

统计方法学 · 统计学 2020-06-22 Davide Ravagli , Georgi N. Boshnakov

Conditional auto-regressive (CAR) distributions are widely used to induce spatial dependence in the geographic analysis of areal data. These distributions establish multivariate dependence networks by defining conditional relationships…

统计方法学 · 统计学 2025-07-14 Miguel A. Martinez-Beneito , Aritz Adín , Tomás Goicoa , Lola Ugarte

This paper studies risk balancing features in an insurance market by evaluating ruin probabilities for single and multiple components of a multivariate compound Poisson risk process. The dependence of the components of the process is…

概率论 · 数学 2020-02-04 Anita Behme , Claudia Klüppelberg , Gesine Reinert

In recent years, extreme shocks, such as natural disasters, are increasing in both frequency and intensity, causing significant economic loss to many cities around the world. Quantifying the economic cost of local businesses after extreme…

综合金融 · 定量金融 2020-04-24 Takahiro Yabe , Yunchang Zhang , Satish Ukkusuri

We present a new approach for constructing a data-driven surrogate model and using it for Bayesian parameter estimation in partial differential equation (PDE) models. We first use parameter observations and Gaussian Process regression to…

数值分析 · 数学 2020-07-15 Jing Li , Alexandre M Tartakovsky

Traditional spatio-temporal models for areal data typically begin with spatial structure imposed at the level of random effects and later extend to include temporal dynamics. We propose an alternative hierarchical modeling framework that…

Generalized autoregressive moving average (GARMA) models are a class of models that was developed for extending the univariate Gaussian ARMA time series model to a flexible observation-driven model for non-Gaussian time series data. This…

应用统计 · 统计学 2017-02-07 Marinho G. Andrade , Ricardo S. Ehlers , Breno S. Andrade

Understanding and forecasting precipitation events in the Arctic maritime environments, such as Bear Island and Ny-{\AA}lesund, is crucial for assessing climate risk and developing early warning systems in vulnerable marine regions. This…

In regression analysis of counts, a lack of simple and efficient algorithms for posterior computation has made Bayesian approaches appear unattractive and thus underdeveloped. We propose a lognormal and gamma mixed negative binomial (NB)…

应用统计 · 统计学 2012-07-03 Mingyuan Zhou , Lingbo Li , David Dunson , Lawrence Carin

Autonomous agents must be able to safely interact with other vehicles to integrate into urban environments. The safety of these agents is dependent on their ability to predict collisions with other vehicles' future trajectories for…

机器人学 · 计算机科学 2020-02-07 Andrew Patterson , Aditya Gahlawat , Naira Hovakimyan

The claim experience of the past is a very important information to calculate the fair price of an insurance contract. In a lot of European countries for instance the prices for motor car insurance depend on the number of claims the driver…

风险管理 · 定量金融 2010-09-22 Magda Schiegl