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Spatial statistics is an area of study devoted to the statistical analysis of data that have a spatial label associated with them. Geographers often refer to the "location information" associated with the "attribute information," whose…

统计方法学 · 统计学 2021-05-18 Noel Cressie , Matthew T. Moores

We consider the problem of non-parametric testing of independence of two components of a stationary bivariate spatial process. In particular, we revisit the random shift approach that has become a standard method for testing the independent…

统计方法学 · 统计学 2022-05-16 Tomas Mrkvicka , Jiri Dvorak , Jonatan A. Gonzalez , Jorge Mateu

Common statistical measures of uncertainty such as $p$-values and confidence intervals quantify the uncertainty due to sampling, that is, the uncertainty due to not observing the full population. However, sampling is not the only source of…

统计方法学 · 统计学 2024-07-08 Suyash Gupta , Dominik Rothenhäusler

We propose a new estimation methodology to address the presence of covariate measurement error by exploiting the availability of spatial data. The approach uses neighboring observations as repeated measurements, after suitably controlling…

计量经济学 · 经济学 2025-11-06 Susanne M. Schennach , Vincent Starck

Large-scale modern data often involves estimation and testing for high-dimensional unknown parameters. It is desirable to identify the sparse signals, ``the needles in the haystack'', with accuracy and false discovery control. However, the…

机器学习 · 计算机科学 2021-11-08 Junhui Cai , Xu Han , Ya'acov Ritov , Linda Zhao

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

Non-deterministic measurements are common in real-world scenarios: the performance of a stochastic optimization algorithm or the total reward of a reinforcement learning agent in a chaotic environment are just two examples in which…

机器学习 · 统计学 2022-08-31 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

Mesh saliency enhances the adaptability of 3D vision by identifying and emphasizing regions that naturally attract visual attention. To investigate the interaction between geometric structure and texture in shaping visual attention, we…

计算机视觉与模式识别 · 计算机科学 2025-04-10 Kaiwei Zhang , Dandan Zhu , Xiongkuo Min , Guangtao Zhai

This manuscript unites causal inference and spatial statistics, presenting novel insights for causal inference in spatial data analysis, and drawing from tools in spatial statistics to estimate causal effects. We introduce spatial causal…

统计方法学 · 统计学 2026-02-17 Georgia Papadogeorgou , Srijata Samanta

Exposure assessment is fundamental to air pollution cohort studies. The objective is to predict air pollution exposures for study subjects at locations without data in order to optimize our ability to learn about health effects of air…

应用统计 · 统计学 2024-06-05 Si Cheng , Magali N. Blanco , Lianne Sheppard , Ali Shojaie , Adam Szpiro

Spatial-sign covariance matrix (SSCM) is an important substitute of sample covariance matrix (SCM) in robust statistics. This paper investigates the SSCM on its asymptotic spectral behaviors under high-dimensional elliptical populations,…

统计理论 · 数学 2017-05-19 Weiming Li , Wang Zhou

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

We discuss a one-sample location test that can be used in the case of high-dimensional data. For high-dimensional data, the power of Hotelling's test decrises when the dimension is close to the sample size. To address this loss of power,…

统计理论 · 数学 2014-05-13 Masashi Hyodo , Takahiro Nishiyama

We propose the spatial-temporal aggregated predictor (STAP) modeling framework to address measurement and estimation issues that arise when assessing the relationship between built environment features (BEF) and health outcomes. Many BEFs…

统计方法学 · 统计学 2021-05-25 Adam Peterson , Jana Hirsch , Brisa Sanchez

The article contains a methodology for social statistics assessing. The significance of minorities (groups that differ in their attributes from the majority) has grown substantially in the modern postindustrial economy and society. In the…

物理与社会 · 物理学 2018-09-12 G. K. Kamenev , I. G. Kamenev

In this letter, we analytically investigate the sensitivity of stability index to its dependent variables in general power systems. Firstly, we give a small-signal model, the stability index is defined as the solution to a semidefinite…

最优化与控制 · 数学 2023-01-27 Jun Wang , Yue Song , David John Hill , Yunhe Hou

Determining the relevant spatial covariates is one of the most important problems in the analysis of point patterns. Parametric methods may lead to incorrect conclusions, especially when the model of interactions between points is wrong.…

统计方法学 · 统计学 2022-10-12 Jiří Dvořák , Tomáš Mrkvička

An important step of modeling spatially-referenced data is appropriately specifying the second order properties of the random field. A scientist developing a model for spatial data has a number of options regarding the nature of the…

统计计算 · 统计学 2015-11-17 Zachary D. Weller

In certain situations that shall be undoubtedly more and more common in the Big Data era, the datasets available are so massive that computing statistics over the full sample is hardly feasible, if not unfeasible. A natural approach in this…

机器学习 · 统计学 2015-01-12 Stéphan Clémençon , Patrice Bertail , Emilie Chautru , Guillaume Papa

This study develops a spatial additive mixed modeling (AMM) approach estimating spatial and non-spatial effects from large samples, such as millions of observations. Although fast AMM approaches are already well-established, they are…

统计方法学 · 统计学 2019-10-15 Daisuke Murakami , Daniel A. Griffith