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Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

统计方法学 · 统计学 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

Prior specifications for hyperparameters of random fields in Bayesian spatial point process modelling can have a major impact on the statistical inference and the conclusions made. We consider fitting of log-Gaussian Cox processes to…

统计方法学 · 统计学 2017-09-21 Sigrunn H. Sørbye , Janine B. Illian , Daniel P. Simpson , David Burslem

Additive spatial statistical models with weakly stationary process assumptions have become standard in spatial statistics. However, one disadvantage of such models is the computation time, which rapidly increases with the number of data…

统计方法学 · 统计学 2024-10-18 Sudipto Saha , Jonathan R. Bradley

The objective of advanced topic modeling is not only to explore latent topical structures, but also to estimate relationships between the discovered topics and theoretically relevant metadata. Methods used to estimate such relationships…

计算与语言 · 计算机科学 2025-04-29 P. Schulze , S. Wiegrebe , P. W. Thurner , C. Heumann , M. Aßenmacher

Multilevel compositional data, such as data sampled over time that are non-negative and sum to a constant value, are common in various fields. However, there is currently no software specifically built to model compositional data in a…

统计方法学 · 统计学 2025-09-23 Flora Le , Dorothea Dumuid , Tyman E. Stanford , Joshua F. Wiley

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

机器学习 · 统计学 2021-09-10 Sudipto Banerjee

Linear quantile regression is a powerful tool to investigate how predictors may affect a response heterogeneously across different quantile levels. Unfortunately, existing approaches find it extremely difficult to adjust for any dependency…

统计方法学 · 统计学 2019-10-30 Xu Chen , Surya T. Tokdar

Medical prediction applications often need to deal with small sample sizes compared to the number of covariates. Such data pose problems for prediction and variable selection, especially when the covariate-response relationship is…

机器学习 · 统计学 2024-11-05 Jeroen M. Goedhart , Thomas Klausch , Jurriaan Janssen , Mark A. van de Wiel

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…

统计方法学 · 统计学 2024-03-21 Teo Nguyen , Sarat Moka , Kerrie Mengersen , Benoit Liquet

This paper investigates the cross-correlations across multiple climate model errors. We build a Bayesian hierarchical model that accounts for the spatial dependence of individual models as well as cross-covariances across different climate…

应用统计 · 统计学 2012-03-02 Huiyan Sang , Mikyoung Jun , Jianhua Z. Huang

Compositional data consist of known compositions vectors whose components are positive and defined in the interval (0,1) representing proportions or fractions of a "whole". The sum of these components must be equal to one. Compositional…

应用统计 · 统计学 2015-07-02 Taciana K. O. Shimizu , Francisco Louzada , Adriano K. Suzuki , Ricardo S. Ehlers

In analyses of spatially-referenced data, researchers often have one of two goals: to quantify relationships between a response variable and covariates while accounting for residual spatial dependence or to predict the value of a response…

统计方法学 · 统计学 2016-01-11 Candace Berrett , Catherine A. Calder

Kriging is an established methodology for predicting spatial data in geostatistics. Current kriging techniques can handle linear dependencies on spatially referenced covariates. Although splines have shown promise in capturing nonlinear…

统计方法学 · 统计学 2025-09-16 Bryan Sumalinab , Oswaldo Gressani , Niel Hens , Christel Faes

Accurate yield forecasting is essential for making informed policies and long-term decisions for food security. Earth Observation (EO) data and machine learning algorithms play a key role in providing a comprehensive and timely view of crop…

机器学习 · 计算机科学 2023-06-09 Anh Nhat Nhu , Ritvik Sahajpal , Christina Justice , Inbal Becker-Reshef

We introduce Bayesian hierarchical models for predicting high-dimensional tabular survey data which can be distributed from one or multiple classes of distributions (e.g., Gaussian, Poisson, Binomial, etc.). We adopt a Bayesian…

统计方法学 · 统计学 2022-11-18 Saikat Nandy , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

Conditional autoregressive (CAR) models are commonly used to capture spatial correlation in areal unit data, and are typically specified as a prior distribution for a set of random effects, as part of a hierarchical Bayesian model. The…

应用统计 · 统计学 2012-05-17 Duncan Lee , Richard Mitchell

Assessing the availability of rainfall water plays a crucial role in rainfed agriculture. Given the substantial proportion of agricultural practices in India being rainfed and considering the potential trends in rainfall amounts across…

应用统计 · 统计学 2025-12-17 Sayan Bhowmik , Arnab Hazra

Data assimilation (DA) integrates observations with model forecasts to produce optimized atmospheric states, whose physical consistency is critical for stable weather forecasting and reliable climate research. Traditional Bayesian DA…

大气与海洋物理 · 物理学 2026-03-05 Hang Fan , Lei Bai , Ben Fei , Yi Xiao , Kun Chen , Yubao Liu , Yongquan Qu , Fenghua Ling , Pierre Gentine

Analog forecasting has been applied in a variety of fields for predicting future states of complex nonlinear systems that require flexible forecasting methods. Past analog methods have almost exclu- sively been used in an empirical…

统计方法学 · 统计学 2016-02-16 Patrick L. McDermott , Christopher K. Wikle

Recent technological advances have enabled researchers in a variety of fields to collect accurately geocoded data for several variables simultaneously. In many cases it may be most appropriate to jointly model these multivariate spatial…

统计方法学 · 统计学 2015-05-29 Maria A. Terres , Montserrat Fuentes , Dean Hesterberg , Matthew Polizzotto