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This article introduces a new methodology model both discrete and continuous spatial heterogeneity simultaneously with an application in detection of hyper-plain in thermohaline circulation. To enable the data-driven detection of spatial…

统计方法学 · 统计学 2025-09-09 Cuiwen Che , Yifan Chen , Zhaoyu Xing , Wei Zhong

Spatial regression is widely used for modeling the relationship between a dependent variable and explanatory covariates. Oftentimes, the linear relationships vary across space, when some covariates have location-specific effects on the…

统计方法学 · 统计学 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

In spatial regression models, collinearity between covariates and spatial effects can lead to significant bias in effect estimates. This problem, known as spatial confounding, is encountered modelling forestry data to assess the effect of…

统计方法学 · 统计学 2023-10-02 Emiko Dupont , Simon N. Wood , Nicole Augustin

In various applications with large spatial regions, the relationship between the response variable and the covariates is expected to exhibit complex spatial patterns. We propose a spatially clustered varying coefficient model, where the…

统计方法学 · 统计学 2020-07-21 Fangzheng Lin , Yanlin Tang , Huichen Zhu , Zhongyi Zhu

Spatial regression or geographically weighted regression models have been widely adopted to capture the effects of auxiliary information on a response variable of interest over a region. In contrast, relationships between response and…

统计方法学 · 统计学 2021-04-29 Shonosuke Sugasawa , Daisuke Murakami

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

应用统计 · 统计学 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

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…

统计方法学 · 统计学 2025-05-05 Zerui Zhang , Xin Wang , Xin Zhang , Jing Zhang

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.…

统计方法学 · 统计学 2022-12-15 Jieying Jiao , Guanyu Hu , Jun Yan

We consider a flexible semiparametric quantile regression model for analyzing high dimensional heterogeneous data. This model has several appealing features: (1) By considering different conditional quantiles, we may obtain a more complete…

统计理论 · 数学 2016-01-25 Ben Sherwood , Lan Wang

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…

统计方法学 · 统计学 2021-05-28 Zixuan Han , Tao Li , Jinhong You

Spatial econometric research typically relies on the assumption that the spatial dependence structure is known in advance and is represented by a deterministic spatial weights matrix. Contrary to classical approaches, we investigate the…

统计计算 · 统计学 2023-10-24 Miryam S. Merk , Philipp Otto

Change detection in heterogeneous multitemporal satellite images is a challenging and still not much studied topic in remote sensing and earth observation. This paper focuses on comparison of image pairs covering the same geographical area…

We consider the problems of variable selection and estimation in nonparametric additive regression models for high-dimensional data. In recent years, several methods have been proposed to model nonlinear relationships when the number of…

统计方法学 · 统计学 2013-10-07 Linn Cecilie Bergersen , Kukatharmini Tharmaratnam , Ingrid K. Glad

A new statistical procedure, based on a modified spline basis, is proposed to identify the linear components in the panel data model with fixed effects. Under some mild assumptions, the proposed procedure is shown to consistently estimate…

计量经济学 · 经济学 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang

In modern spatial statistics, the structure of data that is collected has become more heterogeneous. Depending on the type of spatial data, different modeling strategies for spatial data are used. For example, a kriging approach for…

统计方法学 · 统计学 2019-06-04 Craig Wang , Reinhard Furrer

Due to spatial dependence -- often characterized as complex and non-linear -- model misspecification is a prevalent and critical issue in spatial data analysis and prediction. As the data, and thus model performance, is heterogeneous,…

统计方法学 · 统计学 2025-01-28 Danielle Cabel , Shonosuke Sugasawa , Masahiro Kato , Kosaku Takanashi , Kenichiro McAlinn

This paper studies variable selection and post-selection inference for high-dimensional clustered data using marginal-model-based procedures. We show that, when covariates are heterogeneously distributed across clusters, marginal-model…

统计方法学 · 统计学 2026-05-26 Shangyuan Ye , Cong Zhang , Ying Chen , Ye Liang , Guanbo Wang

This article introduces the sparse group fused lasso (SGFL) as a statistical framework for segmenting sparse regression models with multivariate time series. To compute solutions of the SGFL, a nonsmooth and nonseparable convex program, we…

统计计算 · 统计学 2020-10-09 David Degras

Income inequality is a major contributor to health disparities, yet its effects often vary by geography and are commonly represented as compositional distributions (e.g., proportions of households across income brackets). Existing spatial…

统计方法学 · 统计学 2026-05-18 Jingwen Deng , Shujie Ma , Sergio J. Rey , Guanyu Hu

In the presence of unmeasured spatial confounding, spatial models may actually increase (rather than decrease) bias, leading to uncertainty as to how they should be applied in practice. We evaluated spatial modeling approaches through…

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