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The vector autoregressive (VAR) model has been widely used for modeling temporal dependence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can be prohibitively large, resulting in…

应用统计 · 统计学 2013-10-21 Richard A. Davis , Pengfei Zang , Tian Zheng

Constant (naive) imputation is still widely used in practice as this is a first easy-to-use technique to deal with missing data. Yet, this simple method could be expected to induce a large bias for prediction purposes, as the imputed input…

统计理论 · 数学 2024-02-07 Alexis Ayme , Claire Boyer , Aymeric Dieuleveut , Erwan Scornet

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

Spatiotemporal data analysis with massive zeros is widely used in many areas such as epidemiology and public health. We use a Bayesian framework to fit zero-inflated negative binomial models and employ a set of latent variables from…

统计方法学 · 统计学 2024-02-08 Qing He , Hsin-Hsiung Huang

Determining spatial distributions of species and communities are key objectives of ecology and conservation. Joint species distribution models use multi-species detection-nondetection data to estimate species and community distributions.…

应用统计 · 统计学 2022-12-15 Jeffrey W. Doser , Andrew O. Finley , Sudipto Banerjee

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

统计计算 · 统计学 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

Zero-inflated count data arise in various fields, including health, biology, economics, and the social sciences. These data are often modelled using probabilistic distributions such as zero-inflated Poisson (ZIP), zero-inflated negative…

统计方法学 · 统计学 2025-03-31 Zahra AghahosseinaliShirazi , Pedro A. Rangel , Camila P. E. de Souza

Spatial autoregressive model, introduced by Clif and Ord in 1970s has been widely applied in many areas of science and econometrics such as regional economics, public finance, political sciences, agricultural economics, environmental…

应用统计 · 统计学 2019-05-14 Wenqian Wang , Beth Andrews

Collecting time series data spatially distributed in many locations is often important for analyzing climate change and its impacts on ecosystems. However, comprehensive spatial data collection is not always feasible, requiring us to…

机器学习 · 计算机科学 2024-06-06 Shihori Koyama , Daisuke Inoue , Hiroaki Yoshida , Kazuyuki Aihara , Gouhei Tanaka

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

This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

统计方法学 · 统计学 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

High dimensional space-time data pose known computational challenges when fitting spatio-temporal models. Such data show dependence across several dimensions of space as well as in time, and can easily involve hundreds of thousands of…

统计方法学 · 统计学 2025-06-02 Staci Hepler , Rob Erhardt

We consider the complex data modeling problem motivated by the zero-inflated and overdispersed data from microbiome studies. Analyzing how microbiome abundance is associated with human biological features, such as BMI, is of great…

统计方法学 · 统计学 2025-03-31 Zirui Wang , Tianying Wang

To analyze longitudinal zero-inflated count data, we extend existing models by introducing marginalized zero-inflated Poisson (MZIP) models with random effects, which explicitly capture the marginal effect of covariates and address…

统计方法学 · 统计学 2025-12-01 Keunbaik Lee , Eun Jin Jang , Dipak Dey

We introduce a newly developed R package AZIAD for analyzing zero-inflated or zero-altered data. Compared with existing R packages, AZIAD covers a much larger class of zero-inflated and hurdle models, including both discrete and continuous…

统计计算 · 统计学 2023-04-21 Niloufar Dousti Mousavi , Hani Aldirawi , Jie Yang

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

机器学习 · 统计学 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

Diffusion models have emerged as powerful generative approaches for missing-data imputation, yet most existing methods operate directly in data space and degrade when training data are heavily incomplete. We investigate whether shifting…

机器学习 · 计算机科学 2026-05-28 Alberte Heering Estad , Ignacio Peis , Jes Frellsen

We consider the commonly encountered situation (e.g., in weather forecasting) where the goal is to predict the time evolution of a large, spatiotemporally chaotic dynamical system when we have access to both time series data of previous…

Count-compositional data arise in many different fields, including high-throughput sequencing experiments, ecological surveys, and palaeoclimate studies, where a common, important goal is to understand how covariates relate to the observed…

统计方法学 · 统计学 2026-04-10 André F. B. Menezes , Andrew C. Parnell , Keefe Murphy

When modeling geostatistical or areal data, spatial structure is commonly accommodated via a covariance function for the former and a neighborhood structure for the latter. In both cases the resulting spatial structure is a consequence of…

统计方法学 · 统计学 2015-04-20 Garritt L. Page , Fernando A. Quintana