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Bayesian methods and software for spatial data analysis are generally now well established in the scientific community. Despite the wide application of spatial models, the analysis of multivariate spatial data using R-INLA has not been…

Impact localisation on composite aircraft structures remains a significant challenge due to operational and environmental uncertainties, such as variations in temperature, impact mass, and energy levels. This study proposes a novel Gaussian…

应用统计 · 统计学 2025-09-15 Dong Xiao , Zahra Sharif-Khodaei , M. H. Aliabadi

Bayesian optimization (BO) is a sample-efficient global optimization algorithm for black-box functions which are expensive to evaluate. Existing literature on model based optimization in conditional parameter spaces are usually built on…

机器学习 · 统计学 2020-10-08 Xingchen Ma , Matthew B. Blaschko

This work relates the framework of model-based clustering for spatial functional data where the data are surfaces. We first introduce a Bayesian spatial spline regression model with mixed-effects (BSSR) for modeling spatial function data.…

统计方法学 · 统计学 2015-08-05 Faicel Chamroukhi

Compositional observations are an increasingly prevalent data source in spatial statistics. Analysis of such data is typically done on log-ratio transformations or via Dirichlet regression. However, these approaches often make unnecessarily…

统计方法学 · 统计学 2025-05-27 Michael R. Schwob , Mevin B. Hooten , Nicholas M. Calzada , Timothy H. Keitt

This paper presents a method for mathematical modelling of surfaces conditioned on empirical data. It is based on solving a discrete biharmonic equation over a domain with given inner point and inner curve data. The inner curve data is used…

This research proposes a flexible Bayesian extension of the composite Gaussian process (CGP) model of Ba and Joseph (2012) for predicting (stationary or) non-stationary $y(\mathbf{x})$. The CGP generalizes the regression plus stationary…

统计方法学 · 统计学 2019-06-27 Casey B. Davis , Christopher M. Hans , Thomas J. Santner

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…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

We develop a Bayesian spatio-temporal framework for extreme-value analysis that augments a hierarchical copula model with an autoregressive factor to capture residual temporal dependence in threshold exceedances. The factor can be specified…

统计方法学 · 统计学 2025-10-06 Carlos A. Pasquier , Luis A. Barboza

Public health data are often spatially dependent, but standard spatial regression methods can suffer from bias and invalid inference when the independent variable is associated with spatially-correlated residuals. This could occur if, for…

统计方法学 · 统计学 2025-04-10 Nate Wiecha , Jane A. Hoppin , Brian J. Reich

In many applications, survey data are collected from different survey centers in different regions. It happens that in some circumstances, response variables are completely observed while the covariates have missing values. In this paper,…

统计方法学 · 统计学 2020-07-07 Zhihua Ma , Guanyu Hu , Ming-Hui Chen

Remote sensing observations are extensively used for analysis of environmental variables. These variables often exhibit spatial correlation, which has to be accounted for in the calibration models used in predictions, either by direct…

应用统计 · 统计学 2017-02-14 Virpi Junttila , Marko Laine

The Cox regression model is a commonly used model in survival analysis. In public health studies, clinical data are often collected from medical service providers of different locations. There are large geographical variations in the…

应用统计 · 统计学 2021-07-30 Jinjian Mu , Qingyang Liu , Lynn Kuo , Guanyu Hu

The case-cohort study design bypasses resource constraints by collecting certain expensive covariates for only a small subset of the full cohort. Weighted Cox regression is the most widely used approach for analysing case-cohort data within…

统计方法学 · 统计学 2021-09-10 Andrew Yiu , Robert J. B. Goudie , Stephen J. Sharp , Paul J. Newcombe , Brian D. M. Tom

In this paper, we propose a Bayesian matrix-variate spatiotemporal modeling framework for jointly analyzing multiple response variables observed at spatial locations over time. The approach relaxes the standard assumption of spatial…

统计方法学 · 统计学 2026-04-23 Rodrigo de Souza Bulhões , Marina Silva Paez , Dani Gamerman

Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

应用统计 · 统计学 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast

Spatial data are often derived from multiple sources (e.g. satellites, in-situ sensors, survey samples) with different supports, but associated with the same properties of a spatial phenomenon of interest. It is common for predictors to…

We present csSampling, an R package for estimation of Bayesian models for data collected from complex survey samples. csSampling combines functionality from the probabilistic programming language Stan (via the rstan and brms R packages) and…

统计计算 · 统计学 2023-08-15 Ryan Hornby , Matthew R. Williams , Terrance D. Savitsky , Mahmoud Elkasabi

A common practice to account for psychophysical biases in vision is to frame them as consequences of a dynamic process relying on optimal inference with respect to a generative model. The present study details the complete formulation of…

神经元与认知 · 定量生物学 2018-08-24 Jonathan Vacher , Andrew Isaac Meso , Laurent U. Perrinet , Gabriel Peyré

Compositional data, representing proportions constrained to the simplex, arise in diverse fields such as geosciences, ecology, genomics, and microbiome research. Existing nonparametric density estimation methods often rely on…

统计方法学 · 统计学 2025-10-10 Jiajin Xie , Yong Wang , Eduardo García-Portugués