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Various spatiotemporal and network GARCH models have recently been proposed to capture volatility interactions, such as the transmission of market risk across financial networks. These approaches rely heavily on the specification of the…

Applications · Statistics 2026-03-03 Ariane N. Meli Chrisko , Jessie Li , Philipp Otto , Wolfgang Schmid

Gaussian processes (GPs) are well-known tools for modeling dependent data with applications in spatial statistics, time series analysis, or econometrics. In this article, we present the R package varycoef that implements estimation,…

Computation · Statistics 2021-06-07 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

As an alternative to using administrative areas for the evaluation of small-area health inequalities, Sauzet et al. suggested to take an ego-centred approach and model the spatial correlation structure of health outcomes at the individual…

Computation · Statistics 2024-05-14 Julia Dyck , Jan-Ole Koslik , Odile Sauzet

Assume that several competing methods are available to estimate a parameter in a given statistical model. The aim of estimator averaging is to provide a new estimator, built as a linear combination of the initial estimators, that achieves…

Statistics Theory · Mathematics 2017-03-08 Frédéric Lavancier , P Rochet

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

Statistical Finance · Quantitative Finance 2025-08-29 Atika Aouri , Philipp Otto

Integer-valued time series exist widely in economics, finance, biology, computer science, medicine, insurance, and many other fields. In recent years, many types of models have been proposed to model integer-valued time series data, in…

Statistics Theory · Mathematics 2023-11-21 Ying Wang , Shuang Chen , Lianyong Qian

In this article, we review and compare a number of methods of spatial prediction. To demonstrate the breadth of available choices, we consider both traditional and more-recently-introduced spatial predictors. Specifically, in our exposition…

Methodology · Statistics 2014-10-29 Jonathan R. Bradley , Noel Cressie , Tao Shi

This paper presents a novel estimator of orthogonal GARCH models, which combines (eigenvalue and -vector) targeting estimation with stepwise (univariate) estimation. We denote this the spectral targeting estimator. This two-step estimator…

Econometrics · Economics 2020-07-07 Simon Hetland

Many ecological and spatial processes are complex in nature and are not accurately modeled by linear models. Regression trees promise to handle the high-order interactions that are present in ecological and spatial datasets, but fail to…

Quantitative Methods · Quantitative Biology 2021-01-22 Ethan Ancell , Brennan Bean

In this paper, we focus on the model specification problem in multivariate spatial econometric models when a candidate set for the spatial weights matrix is available. We propose a model selection method for the multivariate spatial…

Methodology · Statistics 2025-09-09 Xin Miao , Fang Fang , Xuening Zhu , Hansheng Wang

Spatial statistics is a growing discipline providing important analytical techniques in a wide range of disciplines in the natural and social sciences. In the R package GWmodel, we introduce techniques from a particular branch of spatial…

Applications · Statistics 2014-03-18 Isabella Gollini , Binbin Lu , Martin Charlton , Christopher Brunsdon , Paul Harris

This paper presents the generalized spatial autoregression (GSAR) model, a significant advance in spatial econometrics for non-normal response variables belonging to the exponential family. The GSAR model extends the logistic SAR, probit…

Methodology · Statistics 2024-12-03 N. A. Cruz , J. D. Toloza-Delgado , O. O. Melo

When considering the problem of forecasting a continuous-time stochastic process over an entire time-interval in terms of its recent past, the notion of Autoregressive Hilbert space processes (ARH) arises. This model can be seen as a…

Methodology · Statistics 2013-02-15 Jairo Cugliari

An R package for specifying and estimating linear latent variable models is presented. The philosophy of the implementation is to separate the model specification from the actual data, which leads to a dynamic and easy way of modeling…

Computation · Statistics 2013-12-10 Klaus K. Holst , Esben Budtz-Jørgensen

This review article focuses on regularised estimation procedures applicable to geostatistical and spatial econometric models. These methods are particularly relevant in the case of big geospatial data for dimensionality reduction or model…

Methodology · Statistics 2026-04-30 Philipp Otto , Alessandro Fassò , Paolo Maranzano

The stopp R package deals with spatio-temporal point processes which might have occurred on the Euclidean space or on some specific linear networks such as roads of a city. The package contains functions to summarize, plot, and perform…

Methodology · Statistics 2023-02-28 Nicoletta D'Angelo , Giada Adelfio

We propose a new class of models specifically tailored for spatio-temporal data analysis. To this end, we generalize the spatial autoregressive model with autoregressive and heteroskedastic disturbances, i.e. SARAR(1,1), by exploiting the…

Methodology · Statistics 2023-01-12 Leopoldo Catania , Anna Gloria Billé

AutoRegressive Conditional Heteroscedasticity (ARCH) models are standard for modeling time series exhibiting volatility, with a rich literature in univariate and multivariate settings. In recent years, these models have been extended to…

Methodology · Statistics 2026-03-19 Alexander Aue , Sebastian Kühnert , Gregory Rice , Jeremy VanderDoes

In this paper, we study a functional SAR model in which explanatory variables are sampling points of a continuous-time process. We propose a procedure for the maximum likelihood estimation for the spatial parameter dependence and the…

Statistics Theory · Mathematics 2016-09-14 Wilmer Pineda-Ríos , Ramón Giraldo

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…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee