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We develop a convex framework for spatially varying coefficient quantile regression that, for each predictor, separates a location-invariant \emph{global} effect from a \emph{spatial deviation}. An adaptive group penalty selects whether a…

Methodology · Statistics 2025-11-26 Hou Jian , Meng Tan , Tian Maozai

Multi-source spatial point data prediction is crucial in fields like environmental monitoring and natural resource management, where integrating data from various sensors is the key to achieving a holistic environmental understanding.…

Machine Learning · Computer Science 2024-07-02 Dazhou Yu , Xiaoyun Gong , Yun Li , Meikang Qiu , Liang Zhao

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

Applications · Statistics 2022-10-31 Tingting Huang

This paper introduces a novel test for conditional stochastic dominance (CSD) at specific values of the conditioning covariates, referred to as target points. The test is relevant for analyzing income inequality, evaluating treatment…

Econometrics · Economics 2025-11-20 Federico A. Bugni , Ivan A. Canay , Deborah Kim

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

We provide a unified framework for independence and mean independence tests based on the Hilbert-Schmidt independence criterion, extending some previous results in the literature to hold in general topological spaces. We also present a…

Methodology · Statistics 2026-05-01 Daniel Diz-Castro , Manuel Febrero-Bande , Wenceslao González-Manteiga

In this work, we propose a deep learning-based method to perform semiparametric regression analysis for spatially dependent data. To be specific, we use a sparsely connected deep neural network with rectified linear unit (ReLU) activation…

Machine Learning · Statistics 2023-12-19 Kexuan Li , Jun Zhu , Anthony R. Ives , Volker C. Radeloff , Fangfang Wang

In many scientific domains, including experimentation, researchers rely on measurements of proxy outcomes to achieve faster and more frequent reads, especially when the primary outcome of interest is challenging to measure directly. While…

Methodology · Statistics 2026-05-08 Steven Wilkins-Reeves , Alexandra N. M. Darmon , Deeksha Sinha

Estimating the test performance of a model, possibly under distribution shift, without having access to the ground-truth labels is a challenging, yet very important problem for the safe deployment of machine learning algorithms in the wild.…

Machine Learning · Computer Science 2025-05-13 Renchunzi Xie , Ambroise Odonnat , Vasilii Feofanov , Ievgen Redko , Jianfeng Zhang , Bo An

Estimating the strength of dependency between two variables is fundamental for exploratory analysis and many other applications in data mining. For example: non-linear dependencies between two continuous variables can be explored with the…

Machine Learning · Statistics 2016-01-21 Simone Romano , Nguyen Xuan Vinh , James Bailey , Karin Verspoor

This paper develops a new framework for indirect statistical inference with guaranteed necessity and sufficiency, applicable to continuous random variables. We prove that when comparing exponentially transformed order statistics from an…

Statistics Theory · Mathematics 2025-09-25 Z Zhang , X Hu , C Lu , T Liu

We study a rank based univariate two-sample distribution-free test. The test statistic is the difference between the average of between-group rank distances and the average of within-group rank distances. This test statistic is closely…

Methodology · Statistics 2018-02-28 Jamye Curry , Xin Dang , Hailin Sang

In agricultural landscapes, the composition and spatial configuration of cultivated and semi-natural elements strongly impact species dynamics, their interactions and habitat connectivity. To allow for landscape structural analysis and…

Populations and Evolution · Quantitative Biology 2020-03-05 Patrizia Zamberletti , Julien Papaïx , Edith Gabriel , Thomas Opitz

We consider a general statistical estimation problem wherein binary labels across different observations are not independent conditioned on their feature vectors, but dependent, capturing settings where e.g. these observations are collected…

Machine Learning · Computer Science 2021-07-22 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Surbhi Goel , Anthimos Vardis Kandiros

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

Methodology · Statistics 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

Multivariate extreme value theory is concerned with modeling the joint tail behavior of several random variables. Existing work mostly focuses on asymptotic dependence, where the probability of observing a large value in one of the…

Statistics Theory · Mathematics 2022-07-11 Michaël Lalancette , Sebastian Engelke , Stanislav Volgushev

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…

Methodology · Statistics 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

Simulation-based inference methods that feature correct conditional coverage of confidence sets based on observations that have been compressed to a scalar test statistic require accurate modeling of either the p-value function or the…

Machine Learning · Statistics 2025-08-18 Ali Al Kadhim , Harrison B. Prosper

Due to rapid data growth, statistical analysis of massive datasets often has to be carried out in a distributed fashion, either because several datasets stored in separate physical locations are all relevant to a given problem, or simply to…

Computation · Statistics 2016-02-08 Matthias Katzfuss , Dorit Hammerling

Statistical methods for inference on spatial extremes of large datasets are yet to be developed. Motivated by standard dimension reduction techniques used in spatial statistics, we propose an approach based on empirical basis functions to…

Methodology · Statistics 2018-08-02 Samuel A. Morris , Brian J. Reich , Emeric Thibaud