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Spatial regression models have a variety of applications in several fields ranging from economics to public health. Typically, it is of interest to select important exogenous predictors of the spatially autocorrelated response variable. In…

Methodology · Statistics 2025-10-31 Sagar Pandhare , Divya Kappara , Siuli Mukhopadhyay

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…

Methodology · Statistics 2025-10-06 Carlos A. Pasquier , Luis A. Barboza

Area-level models for small area estimation typically rely on areal random effects to shrink design-based direct estimates towards a model-based predictor. Incorporating the spatial dependence of the random effects into these models can…

Methodology · Statistics 2024-04-22 Sho Kawano , Paul A. Parker , Zehang Richard Li

Although spatial models for areal data are widely used in multilevel settings, the conditions under which spatial and nonspatial random effects yield equivalent posterior inference for regression coefficients have never been formally…

Methodology · Statistics 2026-05-12 Shuqi Lin , Joshua L. Warren

A constrained multivariate linear model is a multivariate linear model with the columns of its coefficient matrix constrained to lie in a known subspace. This class of models includes those typically used to study growth curves and…

Methodology · Statistics 2021-01-05 Dennis Cook , Liliana Forzani , Lan Liu

In areal unit data with missing or suppressed data, it desirable to create models that are able to predict observations that are not available. Traditional statistical methods achieve this through Bayesian hierarchical models that can…

Methodology · Statistics 2023-12-20 Cara MacBride , Vinny Davies , Duncan Lee

The conditional autoregressive model is a routinely used statistical model for areal data that arise from, for instances, epidemiological, socio-economic or ecological studies. Various multivariate conditional autoregressive models have…

Methodology · Statistics 2019-07-23 Ye Liang

Random variables in metric spaces indexed by time and observed at equally spaced time points are receiving increased attention due to their broad applicability. The absence of inherent structure in metric spaces has resulted in a literature…

Methodology · Statistics 2024-09-24 Matthieu Bulté , Helle Sørensen

This paper considers the quantile regression approach for partially linear spatial autoregressive models with possibly varying coefficients. B-spline is employed for the approximation of varying coefficients. The instrumental variable…

Methodology · Statistics 2016-08-08 Xiaowen Dai , Shaoyang Li , Maozai Tian

In this paper, we address the problem of predicting a response variable in the context of both, spatially correlated and high-dimensional data. To reduce the dimensionality of the predictor variables, we apply the sufficient dimension…

Methodology · Statistics 2025-02-06 Liliana Forzani , Rodrigo García Arancibia , Antonella Gieco , Pamela Llop , Anne Yao

Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

Methodology · Statistics 2018-04-10 German A. Schnaidt Grez , Brani Vidakovic

We propose a new class of spatio-temporal models with unknown and banded autoregressive coefficient matrices. The setting represents a sparse structure for high-dimensional spatial panel dynamic models when panel members represent economic…

Methodology · Statistics 2018-04-19 Zhaoxing Gao , Yingying Ma , Hansheng Wang , Qiwei Yao

Although spatial prediction is widely used for urban and environmental monitoring, its accuracy is often unsatisfactory if only a small number of samples are available in the study area. The objective of this study was to improve the…

Applications · Statistics 2022-11-22 Daisuke Murakami , Mami Kajita , Seiji Kajita

Segmented regression models offer model flexibility and interpretability as compared to the global parametric and the nonparametric models, and yet are challenging in both estimation and inference. We consider a four-regime segmented model…

Methodology · Statistics 2024-10-08 Han Yan , Song Xi Chen

Spatial dependent data frequently occur in many fields such as spatial econometrics and epidemiology. To deal with the dependence of variables and estimate quantile-specific effects by covariates, spatial quantile autoregressive models…

Methodology · Statistics 2021-11-16 Ping Dong , Jiawei Hou , Yunquan Song

The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

Computation · Statistics 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

Conditional forecasts, i.e. projections of a set of variables of interest on the future paths of some other variables, are used routinely by empirical macroeconomists in a number of applied settings. In spite of this, the existing…

Econometrics · Economics 2024-07-03 Joshua C. C. Chan , Davide Pettenuzzo , Aubrey Poon , Dan Zhu

High-dimensional, heterogeneous data with complex feature interactions pose significant challenges for traditional predictive modeling approaches. While Projection to Latent Structures (PLS) remains a popular technique, it struggles to…

Machine Learning · Computer Science 2025-10-21 Farwa Abbas , Hussain Ahmad , Claudia Szabo

In this paper I present a new approach for regression of time series using their own samples. This is a celebrated problem known as Auto-Regression. Dealing with outlier or missed samples in a time series makes the problem of estimation…

Artificial Intelligence · Computer Science 2015-08-19 Mohsen Joneidi

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

Statistics Theory · Mathematics 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey