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Multiple chronic conditions (MCC) are one of the biggest challenges of modern times. The evolution of MCC follows a complex stochastic process that is influenced by a variety of risk factors, ranging from pre-existing conditions to…

Spatiotemporal simulation of minimum and maximum temperature is a fundamental requirement for climate impact studies and hydrological or agricultural models. Particularly over regions with variable orography, these simulations are difficult…

应用统计 · 统计学 2013-06-03 William Kleiber , Richard W. Katz , Balaji Rajagopalan

Modeling correlation (and covariance) matrices can be challenging due to the positive-definiteness constraint and potential high-dimensionality. Our approach is to decompose the covariance matrix into the correlation and variance matrices…

The availability of temporal geospatial data in multiple modalities has been extensively leveraged to enhance the performance of machine learning models. While efforts on the design of adequate model architectures are approaching a level of…

机器学习 · 计算机科学 2024-08-22 Hiba Najjar , Marlon Nuske , Andreas Dengel

State space models are well-known for their versatility in modeling dynamic systems that arise in various scientific disciplines. Although parametric state space models are well studied, nonparametric approaches are much less explored in…

统计方法学 · 统计学 2015-07-23 Satyaki Mazumder , Sourabh Bhattacharya

A new stochastic model for daily precipitation occurrence processes observed at multiple locations is developed. The modeling concept is to use the indicator function and the elliptical shape of multivariate Gaussian distribution to…

应用统计 · 统计学 2020-09-02 Hsien-Wei Chen

Ambient air pollution measurements from regulatory monitoring networks are routinely used to support epidemiologic studies and environmental policy decision making. However, regulatory monitors are spatially sparse and preferentially…

应用统计 · 统计学 2026-03-02 Wenlong Gong , Brian J. Reich , Joseph Guinness

We present a multivariate hierarchical space-time model to describe the joint series of monthly extreme temperatures and amounts of rainfall. Data are available for 360 monitoring stations over 60 years, with missing data affecting almost…

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic…

统计理论 · 数学 2008-03-27 Cécile Hardouin , Jian-Feng Yao

This study presents a Bayesian hierarchical model for analyzing spatially correlated functional data and handling irregularly spaced observations. The model uses Bernstein polynomial (BP) bases combined with autoregressive random effects,…

统计方法学 · 统计学 2024-12-02 Alvaro Alexander Burbano Moreno , Ronaldo Dias

Accurate representation of the molecular electrostatic potential, which is often expanded in distributed multipole moments, is crucial for an efficient evaluation of intermolecular interactions. Here we introduce a machine learning model…

化学物理 · 物理学 2017-10-09 Tristan Bereau , Denis Andrienko , O. Anatole von Lilienfeld

In this study, we propose a general model capable of addressing heterogeneity in higher-order moments while preserving mean and variance, including the t, Laplace, and skew-normal distributions as special cases. Our model flexibly…

统计方法学 · 统计学 2025-03-18 Hajime Kuno , Daisuke Murakami

With the rapid advancement of information technology and data collection systems, large-scale spatial panel data presents new methodological and computational challenges. This paper introduces a dynamic spatial panel quantile model that…

计量经济学 · 经济学 2025-06-10 Tomohiro Ando , Jushan Bai , Kunpeng Li , Yong Song

The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this…

统计力学 · 物理学 2018-09-11 Robert Englman , Asher Yahalom

We consider Bayesian online static parameter estimation for state-space models. This is a very important problem, but is very computationally challenging as the state- of-the art methods that are exact, often have a computational cost that…

统计计算 · 统计学 2015-03-03 Yan Zhou , Ajay Jasra

This paper estimates models of high frequency index futures returns using `around the clock' 5-minute returns that incorporate the following key features: multiple persistent stochastic volatility factors, jumps in prices and volatilities,…

应用统计 · 统计学 2014-01-23 Jonathan R. Stroud , Michael S. Johannes

Analog forecasting has been applied in a variety of fields for predicting future states of complex nonlinear systems that require flexible forecasting methods. Past analog methods have almost exclu- sively been used in an empirical…

统计方法学 · 统计学 2016-02-16 Patrick L. McDermott , Christopher K. Wikle

In many fields observations are performed irregularly along time, due to either measurement limitations or lack of a constant immanent rate. While discrete-time Markov models (as Dynamic Bayesian Networks) introduce either inefficient…

人工智能 · 计算机科学 2012-03-19 Michael Ramati , Yuval Shahar

Studies on stratospheric ozone have attracted much attention due to its serious impacts on climate changes and its important role as a tracer of Earth's global circulation. Tropospheric ozone as a main atmospheric pollutant damages human…

适应与自组织系统 · 物理学 2021-07-05 Xiaojie Chen , Na Ying , Dean Chen , Yongwen Zhang , Bo Lu , Jingfang Fan , Xiaosong Chen

Spatio-temporal models are widely used in many research areas including ecology. The recent proliferation of the use of in-situ sensors in streams and rivers supports space-time water quality modelling and monitoring in near real-time. A…