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When modeling geostatistical or areal data, spatial structure is commonly accommodated via a covariance function for the former and a neighborhood structure for the latter. In both cases the resulting spatial structure is a consequence of…

统计方法学 · 统计学 2015-04-20 Garritt L. Page , Fernando A. Quintana

This paper proposes a new approach to address the problem of unmeasured confounding in spatial designs. Spatial confounding occurs when some confounding variables are unobserved and not included in the model, leading to distorted…

统计方法学 · 统计学 2025-03-05 Carlo Zaccardi , Pasquale Valentini , Luigi Ippoliti , Alexandra M. Schmidt

Estimation of mean and covariance functions is fundamental for functional data analysis. While this topic has been studied extensively in the literature, a key assumption is that there are enough data in the domain of interest to estimate…

统计方法学 · 统计学 2020-09-01 Zhenhua Lin , Jane-Ling Wang , Qixian Zhong

In the last two decades, the linear model of coregionalization (LMC) has been widely used to model multivariate spatial processes. However, it can be a challenging task to conduct likelihood-based inference for such models because of the…

统计方法学 · 统计学 2024-12-04 Renaud Alie , David A. Stephens , Alexandra M. Schmidt

Although a recent study suggested that coarse-to-fine learning provides a fast and flexible framework for large-scale spatial process modeling, the method was originally developed for Gaussian responses, limiting its applicability. To…

We introduce a fast and easy-to-implement simulation algorithm for a multivariate normal distribution truncated on the intersection of a set of hyperplanes, and further generalize it to efficiently simulate random variables from a…

统计计算 · 统计学 2017-02-21 Yulai Cong , Bo Chen , Mingyuan Zhou

Covariance parameter estimation of Gaussian processes is analyzed in an asymptotic framework. The spatial sampling is a randomly perturbed regular grid and its deviation from the perfect regular grid is controlled by a single scalar…

统计理论 · 数学 2014-12-09 François Bachoc

The advent of data science has provided an increasing number of challenges with high data complexity. This paper addresses the challenge of space-time data where the spatial domain is not a planar surface, a sphere, or a linear network, but…

统计方法学 · 统计学 2022-08-09 Emilio Porcu , Philip A. White , Marc G. Genton

To better understand the spatial structure of large panels of economic and financial time series and provide a guideline for constructing semiparametric models, this paper first considers estimating a large spatial covariance matrix of the…

机器学习 · 统计学 2015-03-19 Song Song

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

统计理论 · 数学 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

High dimensional classification has been highlighted for last two decades and much research has been conducted in order to circumvent challenges encountered in high dimensions. While existing methods have focused mainly on developing…

统计方法学 · 统计学 2022-11-16 Seungchul Baek

Methods for combining predictions from different models in a supervised learning setting must somehow estimate/predict the quality of a model's predictions at unknown future inputs. Many of these methods (often implicitly) make the…

统计方法学 · 统计学 2014-06-25 Thijs van Ommen

The drift sequential parameter estimation problems for the Cox-Ingersoll-Ross (CIR) processes under the limited duration of observation are studied. Truncated sequential estimation methods for both scalar and {two}-dimensional parameter…

统计理论 · 数学 2025-04-08 Mohamed Ben Alaya , Thi-Bao Trâm Ngô , Serguei Pergamenchtchikov

Regression analysis of correlated data, where multiple correlated responses are recorded on the same unit, is ubiquitous in many scientific areas. With the advent of new technologies, in particular high-throughput omics profiling assays,…

统计方法学 · 统计学 2024-09-04 Lu Xia , Ali Shojaie

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

统计方法学 · 统计学 2021-11-23 Phillip A. Jang , David S. Matteson

This article studies the benefits of using spatially randomized experimental designs which partition the experimental area into distinct, non-overlapping units with treatments assigned randomly. Such designs offer improved policy evaluation…

统计理论 · 数学 2025-11-18 Ying Yang , Chengchun Shi , Fang Yao , Shouyang Wang , Hongtu Zhu

We study model selection by the Bayesian information criterion (BIC) in fixed-dimensional exploratory factor analysis over a fixed finite family of compact covariance classes. Our main result shows that the BIC is strongly consistent for…

统计理论 · 数学 2026-04-10 Hien Duy Nguyen , Kei Hirose

In many applications, survey data are collected from different survey centers in different regions. It happens that in some circumstances, response variables are completely observed while the covariates have missing values. In this paper,…

统计方法学 · 统计学 2020-07-07 Zhihua Ma , Guanyu Hu , Ming-Hui Chen

I present three types of applications of generalized additive models (GAMs) to COVID-19 mortality rates in the US for the purpose of advancing methods to document inequities with respect to which communities suffered disproportionate…

应用统计 · 统计学 2022-12-01 Christian Testa

The Covid-19 pandemic has made clear the need to improve modern multivariate time-series forecasting models. Current state of the art predictions of future daily deaths and, especially, hospital resource usage have confidence intervals that…

种群与进化 · 定量生物学 2020-06-25 Richard Bao , August Chen , Jethin Gowda , Shiva Mudide