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The problem of estimating missing fragments of curves from a functional sample has been widely considered in the literature. However, a majority of the reconstruction methods rely on estimating the covariance matrix or the components of its…

Methodology · Statistics 2021-08-26 Antonio Elías , Raúl Jiménez , Hanlin Shang

The COVID-19 pandemic has had far-reaching consequences, highlighting the urgency for explanatory and predictive tools to track infection rates and burden of care over time and space. However, the scarcity and inhomogeneity of data is a…

Applications · Statistics 2024-04-30 Naomi Diz-Rosales , María-José Lombardía , Domingo Morales

Spatial regression is widely used for modeling the relationship between a dependent variable and explanatory covariates. Oftentimes, the linear relationships vary across space, when some covariates have location-specific effects on the…

Methodology · Statistics 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

Multi-dimensional functional data arises in numerous modern scientific experimental and observational studies. In this paper we focus on longitudinal functional data, a structured form of multidimensional functional data. Operating within a…

Methodology · Statistics 2019-09-20 John Shamshoian , Damla Senturk , Shafali Jeste , Donatello Telesca

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

Methodology · Statistics 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

We propose computationally efficient methods for estimating stationary multivariate spatial and spatial-temporal spectra from incomplete gridded data. The methods are iterative and rely on successive imputation of data and updating of model…

Methodology · Statistics 2018-11-06 Joseph Guinness

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

Statistics Theory · Mathematics 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

Spatially distributed functional data are prevalent in many statistical applications such as meteorology, energy forecasting, census data, disease mapping, and neurological studies. Given their complex and high-dimensional nature,…

Statistics Theory · Mathematics 2024-02-06 Suneel Babu Chatla , Ruiqi Liu

This paper introduces a quasi-Bayesian method that integrates frequentist nonparametric estimation with Bayesian inference in a two-stage process. Applied to an endogenous discrete choice model, the approach first uses kernel or sieve…

Econometrics · Economics 2025-05-20 Ruixuan Liu , Zhengfei Yu

This manuscript unites causal inference and spatial statistics, presenting novel insights for causal inference in spatial data analysis, and drawing from tools in spatial statistics to estimate causal effects. We introduce spatial causal…

Methodology · Statistics 2026-02-17 Georgia Papadogeorgou , Srijata Samanta

In this article, we consider a dynamic epidemiology model for the spread of the COVID-19 infection. Starting from the classical SEIR model, the model is modified so as to better describe characteristic features of the underlying pathogen…

Populations and Evolution · Quantitative Biology 2020-05-22 Daniela Calvetti , Alexander Hoover , Johnie Rose , Erkki Somersalo

Change detection in heterogeneous multitemporal satellite images is an emerging and challenging topic in remote sensing. In particular, one of the main challenges is to tackle the problem in an unsupervised manner. In this paper we propose…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Luigi T. Luppino , Filippo M. Bianchi , Gabriele Moser , Stian N. Anfinsen

This paper focuses on the analysis of spatially correlated functional data. The between-curve correlation is modeled by correlating functional principal component scores of the functional data. We propose a Spatial Principal Analysis by…

Statistics Theory · Mathematics 2014-11-19 Chong Liu , Surajit Ray , Giles Hooker

Tracking the spread of infectious disease during a pandemic has posed a great challenge to the governments and health sectors on a global scale. To facilitate informed public health decision-making, the concerned parties usually rely on…

Methodology · Statistics 2023-06-05 Tejasv Bedi , Yanxun Xu , Qiwei Li

Spatial epidemiology identifies the drivers of elevated population-level disease risks, using disease counts, exposures and known confounders at the areal unit level. Poisson regression models are typically used for inference, which…

Methodology · Statistics 2026-02-03 Duncan Lee , Vinny Davies

We develop nonparametric regression methods for the case when the true regression function is not necessarily smooth. More specifically, our approach is using the fractional Laplacian and is designed to handle the case when the true…

Statistics Theory · Mathematics 2025-06-11 Zhaoyang Shi , Krishnakumar Balasubramanian , Wolfgang Polonik

In this article, we propose a spectral method for a class of multivariate inhomogeneous spatial point processes, namely the second-order intensity reweighted stationary processes. A key ingredient of our approach is utilizing the asymptotic…

Methodology · Statistics 2025-10-22 Qi-Wen Ding , Junho Yang , Joonho Shin

This paper develops a novel Bayesian approach for nonlinear regression with symmetric matrix predictors, often used to encode connectivity of different nodes. Unlike methods that vectorize matrices as predictors that result in a large…

Methodology · Statistics 2024-07-22 Xiaomeng Ju , Hyung G. Park , Thaddeus Tarpey

The COVID-19 infection fatality rate (IFR) is the proportion of individuals infected with SARS-CoV-2 who subsequently die. As COVID-19 disproportionately affects older individuals, age-specific IFR estimates are imperative to facilitate…

Faced with the 2020 SARS-CoV2 epidemic, public health officials have been seeking models that could be used to predict not only the number of new cases but also the levels of hospitalisation, critical care and deaths. In this paper we…

Populations and Evolution · Quantitative Biology 2020-12-24 Jonathan Wells , Chris Robertson , Vincent Marmara , Alan Yeung , Adam Kleczkowski