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Nonstationary and non-Gaussian spatial data are common in various fields, including ecology (e.g., counts of animal species), epidemiology (e.g., disease incidence counts in susceptible regions), and environmental science (e.g.,…

统计方法学 · 统计学 2024-04-01 Remy MacDonald , Benjamin Seiyon Lee

The Fay-Herriot model is a standard model for direct survey estimators in which the true quantity of interest, the superpopulation mean, is latent and its estimation is improved through the use of auxiliary covariates. In the context of…

统计方法学 · 统计学 2013-10-29 Aaron T. Porter , Christopher K. Wikle , Scott H. Holan

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

统计方法学 · 统计学 2025-08-08 Tomotaka Momozaki , Shonosuke Sugasawa , Tomoyuki Nakagawa , Hiroko Kato Solvang , Sam Subbey

I present an approach for modeling areal spatial covariance by considering the stationary distribution of a spatio-temporal Markov random walk. In the areal data case, this stationary distribution corresponds to an intrinsic simultaneous…

统计方法学 · 统计学 2015-07-06 Ephraim M. Hanks

Traffic prediction is a challenging spatio-temporal forecasting problem that involves highly complex spatio-temporal correlations. This paper proposes a Multi-level Multi-view Augmented Spatio-temporal Transformer (LVSTformer) for traffic…

机器学习 · 计算机科学 2024-06-19 Jiaqi Lin , Qianqian Ren

Despite the amount of research on disease mapping in recent years, the use of multivariate models for areal spatial data remains limited due to difficulties in implementation and computational burden. These problems are exacerbated when the…

统计方法学 · 统计学 2023-07-24 G. Vicente , A. Adin , T. Goicoa , M. D. Ugarte

Traffic forecasting is a challenging spatio-temporal modeling task and a critical component of urban transportation management. Current studies mainly focus on deterministic predictions, with limited considerations on the uncertainty and…

机器学习 · 计算机科学 2026-04-20 Weijiang Xiong , Robert Fonod , Nikolas Geroliminis

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

统计金融 · 定量金融 2025-08-29 Atika Aouri , Philipp Otto

This article was motivated by the desire to improve Markov chain Monte Carlo methods for spatial survival models in which the locations of individuals in space are known. For a dataset comprising information on n individuals, standard…

统计方法学 · 统计学 2015-01-09 Benjamin M. Taylor

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

概率论 · 数学 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

Gaussian random fields with Mat\'ern covariance functions are popular models in spatial statistics and machine learning. In this work, we develop a spatio-temporal extension of the Gaussian Mat\'ern fields formulated as solutions to a…

统计方法学 · 统计学 2023-04-06 Finn Lindgren , Haakon Bakka , David Bolin , Elias Krainski , Håvard Rue

Many scientific applications involve mixed spatially indexed outcomes of heterogeneous types that are driven by shared latent mechanisms. Modeling such data is challenging due to complex, nonlinear, and potentially nonstationary spatial…

统计方法学 · 统计学 2026-03-10 Yeseul Jeon , Kyeong Eun Lee , Joon Jin Song

The Gaussian copula is a powerful tool that has been widely used to model spatial and/or temporal correlated data with arbitrary marginal distributions. However, this kind of model can potentially be too restrictive since it expresses a…

统计方法学 · 统计学 2023-05-30 Moreno Bevilacqua , Eloy Alvarado , Christian Caamaño-Carrillo

There is a growing interest in learning how the distribution of a response variable changes with a set of predictors. Bayesian nonparametric dependent mixture models provide a flexible approach to address this goal. However, several…

统计计算 · 统计学 2020-05-06 Tommaso Rigon , Daniele Durante

Large spatial datasets with non-Gaussian responses are increasingly common in environmental monitoring, ecology, and remote sensing, yet scalable Bayesian inference for such data remains challenging. Markov chain Monte Carlo (MCMC) methods…

统计方法学 · 统计学 2025-12-02 Jin Hyung Lee , Ben Seiyon Lee

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

统计方法学 · 统计学 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

We present a flexible Bayesian semiparametric mixed model for longitudinal data analysis in the presence of potentially high-dimensional categorical covariates. Building on a novel hidden Markov tensor decomposition technique, our proposed…

统计方法学 · 统计学 2022-08-05 Giorgio Paulon , Peter Müller , Abhra Sarkar

Spatially constrained clustering is an important field of research, particularly when it involves changes over time. Partitioning a map is not simple since there is a vast number of possible partitions within the search space. In…

统计方法学 · 统计学 2025-07-14 Jessica Pavani , Rosangela Helena Loschi , Fernando Andres Quintana

Reliable traffic flow prediction is crucial to creating intelligent transportation systems. Many big-data-based prediction approaches have been developed but they do not reflect complicated dynamic interactions between roads considering…

机器学习 · 计算机科学 2023-06-21 Won Kyung Lee , Deuk Sin Kwon , So Young Sohn

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley