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Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

应用统计 · 统计学 2014-11-19 Yang Liu , Philip Kokic

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

统计方法学 · 统计学 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

We propose an extension of Markov-switching generalized additive models for location, scale, and shape (MS-GAMLSS) that allows covariates to influence not only the parameters of the state-dependent distributions but also the state…

统计方法学 · 统计学 2026-01-08 Katharina Ammann , Timo Adam , Jan-Ole Koslik

Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

统计方法学 · 统计学 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli

Bayesian methods and software for spatial data analysis are generally now well established in the scientific community. Despite the wide application of spatial models, the analysis of multivariate spatial data using R-INLA has not been…

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

统计方法学 · 统计学 2025-07-29 Yifan Cheng , Cheng Li

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

This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a…

统计方法学 · 统计学 2020-03-06 Matthias Eckardt , Jonatan A. González , Jorge Mateu

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

统计方法学 · 统计学 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

Nonlinear dynamical stochastic models are ubiquitous in different areas. Excitable media models are typical examples with large state dimensions. Their statistical properties are often of great interest but are also very challenging to…

统计理论 · 数学 2019-01-29 Nan Chen , Andrew J. Majda , Xin T. Tong

Multivariate time series modeling and prediction problems are abundant in many machine learning application domains. Accurate interpretation of such prediction outcomes from a machine learning model that explicitly captures temporal…

机器学习 · 计算机科学 2020-10-27 Tryambak Gangopadhyay , Sin Yong Tan , Zhanhong Jiang , Rui Meng , Soumik Sarkar

We present a Bayesian model for estimating the joint distribution of multivariate categorical data when units are nested within groups. Such data arise frequently in social science settings, for example, people living in households. The…

统计方法学 · 统计学 2016-10-31 Jingchen Hu , Jerome P. Reiter , Quanli Wang

Time series data is prevalent across numerous fields, necessitating the development of robust and accurate forecasting models. Capturing patterns both within and between temporal and multivariate components is crucial for reliable…

机器学习 · 计算机科学 2025-11-21 Maurice Kraus , Felix Divo , Devendra Singh Dhami , Kristian Kersting

In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

统计方法学 · 统计学 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

The aim of this paper is to develop a class of spatial transformation models (STM) to spatially model the varying association between imaging measures in a three-dimensional (3D) volume (or 2D surface) and a set of covariates. Our STMs…

应用统计 · 统计学 2016-07-27 Michelle F. Miranda , Hongtu Zhu , Joseph G. Ibrahim

In recent years, spatial and spatio-temporal modeling have become an important area of research in many fields (epidemiology, environmental studies, disease mapping). In this work we propose different spatial models to study hospital…

应用统计 · 统计学 2010-06-21 Erik A. Sauleau , Valentina Mameli , Monica Musio

Long-term forecasting of multivariate urban data poses a significant challenge due to the complex spatiotemporal dependencies inherent in such datasets. This paper presents DST, a novel multivariate time-series forecasting model that…

机器学习 · 计算机科学 2025-08-28 Amirhossein Sohrabbeig , Omid Ardakanian , Petr Musilek

Accurate imputation is essential for the reliability and success of downstream tasks. Recently, diffusion models have attracted great attention in this field. However, these models neglect the latent distribution in a lower-dimensional…

机器学习 · 计算机科学 2024-09-16 Guojun Liang , Najmeh Abiri , Atiye Sadat Hashemi , Jens Lundström , Stefan Byttner , Prayag Tiwari

Gaussian processes (GPs) are commonplace in spatial statistics. Although many non-stationary models have been developed, there is arguably a lack of flexibility compared to equipping each location with its own parameters. However, the…

机器学习 · 统计学 2018-07-19 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

This paper proposes a log-linear model for the latent intensity functions of a replicated spatio-temporal point process. By simultaneously fitting correlated spatial and temporal Karhunen-Lo\`eve expansions, the model produces spatial and…

统计方法学 · 统计学 2019-03-25 Daniel Gervini