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Although spatial prediction is widely used for urban and environmental monitoring, its accuracy is often unsatisfactory if only a small number of samples are available in the study area. The objective of this study was to improve the…

Applications · Statistics 2022-11-22 Daisuke Murakami , Mami Kajita , Seiji Kajita

This paper proposes asymptotically distribution-free inference methods for comparing a broad range of welfare indices across dependent samples, including those employed in inequality, poverty, and risk analysis. Two distinct situations are…

Econometrics · Economics 2025-12-29 Jean-Marie Dufour , Tianyu He

This paper describes how to analyze the influence of Earth system variables on the errors when providing temperature forecasts. The initial framework to get the data has been based on previous research work, which resulted in a very…

Machine Learning · Computer Science 2024-03-14 M. Julia Flores , Melissa Ruiz-Vásquez , Ana Bastos , René Orth

The flexibility of the Bayesian approach to account for covariates with measurement error is combined with semiparametric regression models for a class of continuous, discrete and mixed univariate response distributions with potentially all…

The stochastic frontier model with heterogeneous technical efficiency explained by exoge-nous variables is augmented with a spatial-temporal component, a generalization relaxing the panel independence assumption in a panel data. The…

Methodology · Statistics 2021-04-29 Erniel B. Barrios , John D. Eustaquio , Rouselle F. Lavado

Understanding the heterogeneity over spatial locations is an important problem that has been widely studied in many applications such as economics and environmental science. In this paper, we focus on regression models for spatial panel…

Methodology · Statistics 2020-12-22 Tianyu Pan , Guanyu Hu , Weining Shen

Analysis of geostatistical data is often based on the assumption that the spatial random field is isotropic. This assumption, if erroneous, can adversely affect model predictions and statistical inference. Nowadays many applications…

Methodology · Statistics 2020-07-30 Indranil Sahoo , Joseph Guinness , Brian J. Reich

Inspired by the combination of feedforward and iterative computations in the virtual cortex, and taking advantage of the ability of denoising autoencoders to estimate the score of a joint distribution, we propose a novel approach to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Adriana Romero , Michal Drozdzal , Akram Erraqabi , Simon Jégou , Yoshua Bengio

We study the problem of testing, using only a single sample, between mean field distributions (like Curie-Weiss, Erd\H{o}s-R\'enyi) and structured Gibbs distributions (like Ising model on sparse graphs and Exponential Random Graphs). Our…

Statistics Theory · Mathematics 2018-05-24 Guy Bresler , Dheeraj Nagaraj

We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test…

Methodology · Statistics 2022-10-27 Philipp Eller , Lolian Shtembari

This paper introduces a new specification for the nonparametric production-frontier based on Data Envelopment Analysis (DEA) when dealing with decision-making units whose economic performances are correlated with those of the neighbors…

Econometrics · Economics 2021-03-29 Julian Ramajo , Miguel A. Marquez , Geoffrey J. D. Hewings

Feature attribution analysis is critical for interpreting machine learning models and supporting reliable data-driven decisions. However, feature attribution measures often exhibit stochastic variation: different train--test splits, random…

Machine Learning · Statistics 2026-05-15 Lanxin Xiang , Liang Shi , Youhui Ye , Boyu Jiang , Dawei Zhou , Feng Guo

In Earth sciences, unobserved factors exhibit non-stationary spatial distributions, causing the relationships between features and targets to display spatial heterogeneity. In geographic machine learning tasks, conventional statistical…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Siqi Du , Hongsheng Huang , Kaixin Shen , Ziqi Liu , Shengjun Tang

We consider spatially dependent functional data collected under a geostatistics setting, where locations are sampled from a spatial point process. The functional response is the sum of a spatially dependent functional effect and a spatially…

Methodology · Statistics 2021-06-18 Haozhe Zhang , Yehua Li

In this paper we present an exploratory research on quantifying the impact that data distribution has on the performance and evaluation of NLP models. We propose an automated framework that measures the data point distribution across 6…

Computation and Language · Computer Science 2024-04-02 Venelin Kovatchev , Matthew Lease

This paper proposes a new mutual independence test for a large number of high dimensional random vectors. The test statistic is based on the characteristic function of the empirical spectral distribution of the sample covariance matrix. The…

Statistics Theory · Mathematics 2012-05-31 G. M. Pan , J. Gao , Y. Yang , M. Guo

This paper explores hypothesis testing for the parametric forms of the mean and variance functions in regression models under diverging-dimension settings. To mitigate the curse of dimensionality, we introduce weighted residual empirical…

Statistics Theory · Mathematics 2025-10-28 Falong Tan , Xu Guo , Lixing Zhu

We develop a test of normality for spatially indexed functions. The assumption of normality is common in spatial statistics, yet no significance tests, or other means of assessment, have been available for functional data. This paper aims…

Methodology · Statistics 2021-07-01 Thomas Kuenzer , Siegfried Hörmann , Piotr Kokoszka

This handbook chapter provides an essential introduction to the field of spatial econometrics, offering a comprehensive overview of techniques and methodologies for analysing spatial data in the social sciences. Spatial econometrics…

Econometrics · Economics 2025-03-20 Tobias Rüttenauer

Motivated by the need to statistically quantify the difference between two spatio-temporal datasets that arise in climate downscaling studies, we propose new tests to detect the differences of the covariance operators and their associated…

Statistics Theory · Mathematics 2015-06-03 Xianyang Zhang , Xiaofeng Shao
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