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Doubly-stochastic point processes model the occurrence of events over a spatial domain as an inhomogeneous Poisson process conditioned on the realization of a random intensity function. They are flexible tools for capturing spatial…

统计方法学 · 统计学 2024-06-28 Si Cheng , Jon Wakefield , Ali Shojaie

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

统计方法学 · 统计学 2024-01-25 Patricia Puchhammer , Peter Filzmoser

The analysis of continuously spatially varying processes usually considers two sources of variation, namely, the large-scale variation collected by the trend of the process, and the small-scale variation. Parametric trend models on latitude…

A major problem in numerical weather prediction (NWP) is the estimation of high-dimensional covariance matrices from a small number of samples. Maximum likelihood estimators cannot provide reliable estimates when the overall dimension is…

统计方法学 · 统计学 2023-01-13 Robert J. Webber , Matthias Morzfeld

This paper investigates a new approach to estimate the gradient of the conditional probability given the covariates in the binary classification framework. The proposed approach consists in fitting a localized nearest-neighbor logistic…

统计理论 · 数学 2025-01-20 Touqeer Ahmad , François Portier , Gilles Stupfler

Predicting the response at an unobserved location is a fundamental problem in spatial statistics. Given the difficulty in modeling spatial dependence, especially in non-stationary cases, model-based prediction intervals are at risk of…

统计方法学 · 统计学 2025-07-09 Huiying Mao , Ryan Martin , Brian Reich

As autonomous systems increasingly rely on onboard sensing for localization and perception, the parallel tasks of motion planning and state estimation become more strongly coupled. This coupling is well-captured by augmenting the planning…

机器人学 · 计算机科学 2020-09-14 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

统计方法学 · 统计学 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park

Spatial prediction tasks are key to weather forecasting, studying air pollution impacts, and other scientific endeavors. Determining how much to trust predictions made by statistical or physical methods is essential for the credibility of…

机器学习 · 统计学 2025-03-25 David R. Burt , Yunyi Shen , Tamara Broderick

This paper investigates the cross-correlations across multiple climate model errors. We build a Bayesian hierarchical model that accounts for the spatial dependence of individual models as well as cross-covariances across different climate…

应用统计 · 统计学 2012-03-02 Huiyan Sang , Mikyoung Jun , Jianhua Z. Huang

In modern experimental science, there is a common problem of estimating the coefficients of a linear regression in a context where the variables of interest cannot be observed simultaneously. When there is a categorical variable that is…

统计方法学 · 统计学 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

统计方法学 · 统计学 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

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…

统计方法学 · 统计学 2026-04-30 Rodrigo García Arancibia , Pamela Llop , Mariel Lovatto

Nonparametric regression models with locally stationary covariates have received increasing interest in recent years. As a nice relief of "curse of dimensionality" induced by large dimension of covariates, additive regression model is…

统计理论 · 数学 2016-12-02 Lixia Hu , Tao Huang , Jinhong You

This paper investigates a partially linear spatial autoregressive panel data model that incorporates fixed effects, constant and time-varying regression coefficients, and a time-varying spatial lag coefficient. A two-stage least squares…

统计理论 · 数学 2024-10-15 Lingling Tian , Chuanhua Wei , Mixia Wu

Estimating effects of spatially structured exposures is complicated by unmeasured spatial confounders, which undermine identifiability in spatial linear regression models unless structural assumptions are imposed. We develop a general…

统计方法学 · 统计学 2025-12-30 Anik Burman , Elizabeth L. Ogburn , Abhirup Datta

We describe a puzzle involving the interactions between an optimization of a multivariate quadratic function and a "plug-in" estimator of a spiked covariance matrix. When the largest eigenvalues (i.e., the spikes) diverge with the…

统计理论 · 数学 2024-10-07 Hubeyb Gurdogan , Alex Shkolnik

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…

统计方法学 · 统计学 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang

Estimating covariance parameters for multivariate spatial Gaussian random fields is computationally challenging, as the number of parameters grows rapidly with the number of variables, and likelihood evaluation requires operations of order…

统计方法学 · 统计学 2026-04-10 Francisco Cuevas-Pacheco , Gabriel Riffo , Xavier Emery

Local projection (LP) and structural vector autoregression (SVAR) are commonly employed to estimate dynamic causal effects of macroeconomic policies at multiple horizons. With enough lags as controls, LP estimators have little bias but…

计量经济学 · 经济学 2026-03-03 Aleksei Nemtyrev , Otilia Boldea