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Environmental phenomena are influenced by complex interactions among various factors. For instance, the amount of rainfall measured at different stations within a given area is shaped by atmospheric conditions, orography, and physics of…

Applications · Statistics 2025-01-16 Paolo Onorati , Antonio Canale

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

Semi-structured regression models enable the joint modeling of interpretable structured and complex unstructured feature effects. The structured model part is inspired by statistical models and can be used to infer the input-output…

Machine Learning · Computer Science 2024-01-24 Daniel Dold , David Rügamer , Beate Sick , Oliver Dürr

Spatial point pattern data are routinely encountered. A flexible regression model for the underlying intensity is essential to characterizing the spatial point pattern and understanding the impacts of potential risk factors on such pattern.…

Methodology · Statistics 2022-12-15 Jieying Jiao , Guanyu Hu , Jun Yan

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

Methodology · Statistics 2021-05-28 Zixuan Han , Tao Li , Jinhong You

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

Applications · Statistics 2023-12-25 Francesco Lagona , Marco Mingione

We propose a semi-partitioned Generalized Method of Moments (GMM) framework for analyzing longitudinal data with time-dependent covariates, within a marginal modeling paradigm. This approach addresses limitations of both aggregated and…

Methodology · Statistics 2026-03-04 Niloofar Ramezani , Jeffrey R. Wilson

Identifying spatial heterogeneous patterns has attracted a surge of research interest in recent years, due to its important applications in various scientific and engineering fields. In practice the spatially heterogeneous components are…

Methodology · Statistics 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang

Multivariate spatio-temporal data arise more and more frequently in a wide range of applications; however, there are relatively few general statistical methods that can readily use that incorporate spatial, temporal and variable…

Methodology · Statistics 2017-11-15 Elynn Yi Chen , Qiwei Yao , Rong Chen

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…

Methodology · Statistics 2022-08-05 Giorgio Paulon , Peter Müller , Abhra Sarkar

In the realm of large-scale spatiotemporal data, abrupt changes are commonly occurring across both spatial and temporal domains. This study aims to address the concurrent challenges of detecting change points and identifying spatial…

Methodology · Statistics 2025-05-05 Zerui Zhang , Xin Wang , Xin Zhang , Jing Zhang

Motivated by the study of pollution trends in the city of Bergen, we introduce a flexible statistical framework for modeling multivariate air pollution data via a nonhomogeneous Hidden Semi-Markov Vector Auto-Regression. The hidden process…

We consider a time series model involving a fractional stochastic component, whose integration order can lie in the stationary/invertible or nonstationary regions and be unknown, and an additive deterministic component consisting of a…

Statistics Theory · Mathematics 2007-06-13 P. M. Robinson

We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

Methodology · Statistics 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

In this paper we propose a semiparametric spatial autoregressive model that combines a linear covariate component with a nonparametrically estimated spatial term, allowing flexible dependence modeling without restrictive covariance…

Methodology · Statistics 2026-04-30 Rodrigo García Arancibia , Pamela Llop , Mariel Lovatto

Heterogeneous data are now ubiquitous in many applications in which correctly identifying the subgroups from a heterogeneous population is critical. Although there is an increasing body of literature on subgroup detection, existing methods…

Methodology · Statistics 2025-12-09 Jie Wu , Bo Zhang , Daoji Li , Zemin Zheng

This paper considers estimating functional-coefficient models in panel quantile regression with individual effects, allowing the cross-sectional and temporal dependence for large panel observations. A latent group structure is imposed on…

Econometrics · Economics 2023-03-24 Xiaorong Yang , Jia Chen , Degui Li , Runze Li

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

Statistics Theory · Mathematics 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

This paper examines the identification and estimation of heterogeneous treatment effects in event studies, emphasizing the importance of both lagged dependent variables and treatment effect heterogeneity. We show that omitting lagged…

Econometrics · Economics 2025-09-18 Irene Botosaru , Laura Liu