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Rigby & Stasinopoulos (2005) introduced generalized additive models for location, scale and shape (GAMLSS) where the response distribution is not restricted to belong to the exponential family and its parameters can be specified as…

统计方法学 · 统计学 2016-05-25 Giampiero Marra , Rosalba Radice

Stochastic process models for spatiotemporal data underlying random fields find substantial utility in a range of scientific disciplines. Subsequent to predictive inference on the values of the random field (or spatial surface indexed…

统计方法学 · 统计学 2024-07-26 Aritra Halder , Didong Li , Sudipto Banerjee

To obtain a probabilistic model for a dependent variable based on some set of explanatory variables, a distributional approach is often adopted where the parameters of the distribution are linked to regressors. In many classical models this…

统计方法学 · 统计学 2020-01-14 Lisa Schlosser , Torsten Hothorn , Reto Stauffer , Achim Zeileis

Air pollution remains a major environmental risk factor that is often associated with adverse health outcomes. However, quantifying and evaluating its effects on human health is challenging due to the complex nature of exposure data. Recent…

统计方法学 · 统计学 2025-06-02 Soumyakanti Pan , Sudipto Banerjee

Soil moisture is an important component of precision agriculture as it directly impacts the growth and quality of vegetation. Forecasting soil moisture is essential to schedule the irrigation and optimize the use of water. Physics based…

机器学习 · 计算机科学 2022-05-17 Anoushka Vyas , Sambaran Bandyopadhyay

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

统计方法学 · 统计学 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

Mixed spatial autoregressive (SAR) models with numerical covariates have been well studied. However, as non-numerical data, such as functional data and compositional data, receive substantial amounts of attention and are applied to…

应用统计 · 统计学 2018-11-08 Huiwen Wang , Tingting Huang , Shanshan Wang

This paper considers an estimation of semiparametric functional (varying)-coefficient quantile regression with spatial data. A general robust framework is developed that treats quantile regression for spatial data in a natural…

统计理论 · 数学 2014-02-06 Zudi Lu , Qingguo Tang , Longsheng Cheng

Computer models are used to model complex processes in various disciplines. Often, a key source of uncertainty in the behavior of complex computer models is uncertainty due to unknown model input parameters. Statistical computer model…

统计方法学 · 统计学 2013-08-02 Won Chang , Murali Haran , Roman Olson , Klaus Keller

Accurately selecting and estimating smooth functional effects in additive models with potentially many functions is a challenging task. We introduce a novel Demmler-Reinsch basis expansion to model the functional effects that allows us to…

统计方法学 · 统计学 2024-01-02 Paul Bach , Nadja Klein

Grain boundary (GB) energy is a fundamental property that affects the form of grain boundary and plays an important role to unveil the behavior of polycrystalline materials. With a better understanding of grain boundary energy distribution…

计算物理 · 物理学 2020-02-04 Haoyu Wang , Srikanth Patala , Brian J. Reich

Motivated by a large ground-level ozone dataset, we propose a new computationally efficient additive approximate Gaussian process. The proposed method incorporates a computational-complexity-reduction method and a separable covariance…

统计方法学 · 统计学 2019-06-10 Pulong Ma , Bledar A. Konomi , Emily L. Kang

We show how to construct the implied copula process of response values from a Bayesian additive regression tree (BART) model with prior on the leaf node variances. This copula process, defined on the covariate space, can be paired with any…

统计方法学 · 统计学 2026-01-14 Jan Martin Wenkel , Michael Stanley Smith , Nadja Klein

Generalized additive models (GAMs) connecting a set of scalar covariates that map 1-1 to a response are commonly employed in ecology and beyond. However, covariates are often inherently non-scalar, taking multiple values for each…

统计方法学 · 统计学 2025-09-11 David L Miller , Ken Newman , Thomas Cornulier

Ensembles of geophysical models improve projection accuracy and express uncertainties. We develop a novel data-driven ensembling strategy for combining geophysical models using Bayesian Neural Networks, which infers spatiotemporally varying…

Structural break identification methods are an important tool for evaluating the effectiveness of climate change mitigation policies. In this paper, we introduce a unified probabilistic framework for detecting structural breaks with unknown…

计量经济学 · 经济学 2026-03-06 Lucas D. Konrad , Lukas Vashold , Jesus Crespo Cuaresma

In this paper, we construct a hierarchical model for spatial compositional data, which is used to reconstruct past land-cover compositions (in terms of coniferous forest, broadleaved forest, and unforested/open land) for five time periods…

应用统计 · 统计学 2018-04-03 Behnaz Pirzamanbein , Johan Lindström , Anneli Poska , Marie-José Gaillard

Spatial confounding is a common issue in spatial regression models, occurring when spatially varying covariates correlate with the spatial effect included in the model. This dependence, particularly at high spatial frequencies, can…

统计方法学 · 统计学 2025-12-16 Isa Marques , Paul F. V. Wiemann

Multivariate geostatistics is based on modelling all covariances between all possible combinations of two or more variables at any sets of locations in a continuously indexed domain. Multivariate spatial covariance models need to be built…

统计方法学 · 统计学 2016-10-10 Noel Cressie , Andrew Zammit-Mangion

We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

统计方法学 · 统计学 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray