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Spatial association and heterogeneity are two critical areas in the research about spatial analysis, geography, statistics and so on. Though large amounts of outstanding methods has been proposed and studied, there are few of them tend to…

Econometrics · Economics 2018-03-26 Zihao Yuan

The TrendLSW R package has been developed to provide users with a suite of wavelet-based techniques to analyse the statistical properties of nonstationary time series. The key components of the package are (a) two approaches for the…

Methodology · Statistics 2024-11-06 Euan T. McGonigle , Rebecca Killick , Matthew A. Nunes

The sparse group lasso is a high-dimensional regression technique that is useful for problems whose predictors have a naturally grouped structure and where sparsity is encouraged at both the group and individual predictor level. In this…

Compositional data find broad application across diverse fields due to their efficacy in representing proportions or percentages of various components within a whole. Spatial dependencies often exist in compositional data, particularly when…

Methodology · Statistics 2024-03-21 Teo Nguyen , Sarat Moka , Kerrie Mengersen , Benoit Liquet

Homogenization is an important and crucial step to improve the usage of observational data for climate analysis. This work is motivated by the analysis of long series of GNSS Integrated Water Vapour (IWV) data which have not yet been used…

Methodology · Statistics 2020-05-12 Annarosa Quarello , Olivier Bock , Emilie Lebarbier

The technology to generate Spatially Resolved Transcriptomics (SRT) data is rapidly being improved and applied to investigate a variety of biological tissues. The ability to interrogate how spatially localised gene expression can lend new…

Quantitative Methods · Quantitative Biology 2021-08-04 Natalie Charitakis , Mirana Ramialison , Hieu T. Nim

We discuss the Gaussian graphical model (GGM; an undirected network of partial correlation coefficients) and detail its utility as an exploratory data analysis tool. The GGM shows which variables predict one-another, allows for sparse…

Methodology · Statistics 2018-02-09 Sacha Epskamp , Lourens J. Waldorp , René Mõttus , Denny Borsboom

In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

Methodology · Statistics 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

This book chapter emphasizes the significance of categorical raster data in ecological studies, specifically land use or land cover (LULC) data, and highlights the pivotal role of landscape metrics and pattern-based spatial analysis in…

Methodology · Statistics 2024-05-13 Jakub Nowosad , Maximilian H. K. Hesselbarth

Recent developments in extreme value statistics have established the so-called geometric approach as a powerful modelling tool for multivariate extremes. We tailor these methods to the case of spatial modelling and examine their efficacy at…

Methodology · Statistics 2026-02-20 Lydia Kakampakou , Jennifer L. Wadsworth

Many ecological and spatial processes are complex in nature and are not accurately modeled by linear models. Regression trees promise to handle the high-order interactions that are present in ecological and spatial datasets, but fail to…

Quantitative Methods · Quantitative Biology 2021-01-22 Ethan Ancell , Brennan Bean

Spatial statistics is concerned with the analysis of data that have spatial locations associated with them, and those locations are used to model statistical dependence between the data. The spatial data are treated as a single realisation…

Methodology · Statistics 2022-02-09 Noel Cressie , Matthew Sainsbury-Dale , Andrew Zammit-Mangion

Although geographically weighted Poisson regression (GWPR) is a popular regression for spatially indexed count data, its development is relatively limited compared to that found for linear geographically weighted regression (GWR), where…

Understanding the spatial distribution of animals, during all their life phases, as well as how the distributions are influenced by environmental covariates, is a fundamental requirement for the effective management of animal populations.…

Applications · Statistics 2020-10-26 Soraia Pereira , Raquel Menezes , Maria Manuel Angélico , Tiago Marques

We propose a new model for regression and dependence analysis when addressing spatial data with possibly heavy tails and an asymmetric marginal distribution. We first propose a stationary process with $t$ marginals obtained through scale…

Statistics Theory · Mathematics 2019-12-20 M. Bevilacqua , C. Caamaño , R. B. Arellano Valle , V. Morales-Onñate

Spatiotemporal modeling of economic aggregates is increasingly relevant in regional science due to the presence of both spatial spillovers and temporal dynamics. Traditional temporal disaggregation methods, such as Chow-Lin, often ignore…

Methodology · Statistics 2025-11-18 A. Tobar , A. Mir , R. Alberich , I. Garcia Mosquera , M. Miró , NA. Cruz

Accurate modeling of spatial dependence is pivotal in analyzing spatial data, influencing parameter estimation and predictions. The spatial structure of the data significantly impacts valid statistical inference. Existing models for areal…

Methodology · Statistics 2025-12-11 Lucas da Cunha Godoy , Marcos Oliveira Prates , Jun Yan

Epidemiological investigations of regionally aggregated spatial data often involve detecting spatial health disparities among neighboring regions on a map of disease mortality or incidence rates. Analyzing such data introduces spatial…

Methodology · Statistics 2025-11-21 Kyle Lin Wu , Sudipto Banerjee

Deep generative models are universal tools for learning data distributions on high dimensional data spaces via a mapping to lower dimensional latent spaces. We provide a study of latent space geometries and extend and build upon previous…

Machine Learning · Computer Science 2019-02-07 Max F. Frenzel , Bogdan Teleaga , Asahi Ushio

The R package BNSP provides a unified framework for semiparametric location-scale regression and stochastic search variable selection. The statistical methodology that the package is built upon utilizes basis function expansions to…

Other Statistics · Statistics 2018-10-09 Georgios Papageorgiou
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