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The assumption of normality has underlain much of the development of statistics, including spatial statistics, and many tests have been proposed. In this work, we focus on the multivariate setting and first review the recent advances in…

Methodology · Statistics 2022-05-18 Wanfang Chen , Marc G. Genton

On-farm experiments can provide farmers with information on more efficient crop management in their own fields. Developments in precision agricultural technologies, such as yield monitoring and variable-rate application technology, allow…

Applications · Statistics 2021-03-16 Takashi S. T. Tanaka

We investigate spatial confounding in the presence of multivariate disease dependence. In the "analysis model perspective" of spatial confounding, adding a spatially dependent random effect can lead to significant variance inflation of the…

Methodology · Statistics 2026-02-13 Kyle Lin Wu , Sudipto Banerjee

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

Methodology · Statistics 2020-06-15 Raif M. Rustamov , James T. Klosowski

The Weather Risk Attribution Forecast (WRAF) is a forecasting tool that uses output from global climate models to make simultaneous attribution statements about whether and how greenhouse gas emissions have contributed to extreme weather…

Applications · Statistics 2017-11-15 Mark D. Risser , Christopher J. Paciorek , Daithi Stone

We derive the asymptotic distribution of the spatial Cram'{e}r--von Mises statistic for testing bivariate independence in stationary random fields on $\mathbb{R}^2$ under polynomial $\beta$-mixing dependence, and document the Python…

Methodology · Statistics 2026-05-20 Marco Mandap

We investigate distributional properties of a class of spectral spatial statistics under irregular sampling of a random field that is defined on $\mathbb{R}^d$, and use this to obtain a test for isotropy. Within this context, edge effects…

Statistics Theory · Mathematics 2024-01-17 Theresa Eckle , Anne van Delft , Holger Dette

In spite of considerable practical importance, current algorithmic fairness literature lacks technical methods to account for underlying geographic dependency while evaluating or mitigating bias issues for spatial data. We initiate the…

Applications · Statistics 2022-01-31 Subhabrata Majumdar , Cheryl Flynn , Ritwik Mitra

Deep neural network training often involves stochastic optimization, meaning each run will produce a different model. This implies that hyperparameters of the training process, such as the random seed itself, can potentially have…

Machine Learning · Statistics 2025-04-17 Sinjini Banerjee , Tim Marrinan , Reilly Cannon , Tony Chiang , Anand D. Sarwate

This paper presents a procedure for testing the hypothesis that the underlying distribution of the data is elliptical when using robust location and scatter estimators instead of the sample mean and covariance matrix. Under mild assumptions…

Methodology · Statistics 2015-02-20 Ana M. Bianco , Graciela Boente , Isabel M. Rodrigues

This paper introduces a novel spatial scalar-on-function quantile regression model that extends classical scalar-on-function models to account for spatial dependence and heterogeneous conditional distributions. The proposed model…

Methodology · Statistics 2025-10-21 Muge Mutis , Ufuk Beyaztas , Filiz Karaman , Han Lin Shang

This paper proposes a new method for crop yield prediction, which is essential for developing management strategies, informing insurance assessments, and ensuring long-term food security. Although existing data-driven approaches have shown…

Machine Learning · Computer Science 2026-03-10 Yiming Sun , Qi Cheng , Licheng Liu , Runlong Yu , Yiqun Xie , Xiaowei Jia

This article proposes an improved version of the Spearman rank correlation based on using Wilcoxon rank score function. A smoothed empirical cumulative distribution function (ecdf)computes the smoothed ranks and replaces the regular ranks…

Methodology · Statistics 2025-11-13 Feridun Tasdan , Rukiye Dagalp

We establish the asymptotic normality of the regression estimator in a fixed-design setting when the errors are given by a field of dependent random variables. The result applies to martingale-difference or strongly mixing random fields. On…

Statistics Theory · Mathematics 2009-07-10 Mohamed El Machkouri , Radu Stoica

We propose a nonparametric estimator of the empirical distribution function (EDF) of the latent spot variance of the log-price of a financial asset. We show that over a fixed time span our realized EDF (or REDF) -- inferred from noisy…

Econometrics · Economics 2026-01-29 Kim Christensen , Martin Thyrsgaard , Bezirgen Veliyev

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

Semisupervised learning has emerged as a popular framework for improving modeling accuracy while controlling labeling cost. Based on an extension of stochastic composite likelihood we quantify the asymptotic accuracy of generative…

Machine Learning · Computer Science 2010-03-02 Joshua V Dillon , Krishnakumar Balasubramanian , Guy Lebanon

Testing the equality of two conditional distributions is crucial in various modern applications, including transfer learning and causal inference. Despite its importance, this fundamental problem has received surprisingly little attention…

Methodology · Statistics 2025-09-04 Jian Yan , Zhuoxi Li , Xianyang Zhang

This paper focuses on the analysis of spatially correlated functional data. The between-curve correlation is modeled by correlating functional principal component scores of the functional data. We propose a Spatial Principal Analysis by…

Statistics Theory · Mathematics 2014-11-19 Chong Liu , Surajit Ray , Giles Hooker

The randomized-feature approach has been successfully employed in large-scale kernel approximation and supervised learning. The distribution from which the random features are drawn impacts the number of features required to efficiently…

Machine Learning · Statistics 2017-12-20 Shahin Shahrampour , Ahmad Beirami , Vahid Tarokh