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This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models…

Methodology · Statistics 2019-03-05 Michael Genin , Mohamed-Salem Ahmed

We have developed and tested a spatial scan statistic for categorical, functional data (CFSS) - a data structure within which current approaches cannot identify spatial clusters. Our methodology combines an encoding scheme for categorical,…

Methodology · Statistics 2026-03-03 Camille Frévent , Moustapha Sarr , Sophie Dabo-Niang

Spatial scan statistics are well-known methods for cluster detection and are widely used in epidemiology and medical studies for detecting and evaluating the statistical significance of disease hotspots. For the sake of simplicity, the…

Methodology · Statistics 2019-11-25 Mohamed-Salem Ahmed , Lionel Cucala , Michael Genin

A spatial curve dynamical model framework is adopted for functional prediction of counts in a spatiotemporal log-Gaussian Cox process model. Our spatial functional estimation approach handles both wavelet-based heterogeneity analysis in…

Methodology · Statistics 2020-10-09 Torres-Signes , M. P. Frías , J. Mateu , M. D. Ruiz-Medina

The spatial scan statistic is widely used in epidemiology and medical studies as a tool to identify hotspots of diseases. The classical spatial scan statistic assumes the number of disease cases in different locations have independent…

Applications · Statistics 2009-09-29 Ji Meng Loh , Zhengyuan Zhu

Time-to-event models are commonly used to study associations between risk factors and disease outcomes in the setting of electronic health records (EHR). In recent years, focus has intensified on social determinants of health, highlighting…

Applications · Statistics 2025-11-26 Yueming Shen , Christian Pean , David Dunson , Samuel Berchuck

Within-individual variability of health indicators measured over time is becoming commonly used to inform about disease progression. Simple summary statistics (e.g. the standard deviation for each individual) are often used but they are not…

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

Methodology · Statistics 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

Background: The most widely used approach to joint modelling of repeated measurement and time to event data is to combine a linear Gaussian random effects model for the repeated measurements with a log-Gaussian frailty model for the…

Methodology · Statistics 2016-09-12 Elisabeth Waldmann , David Taylor-Robinson

Epidemiological investigations of regionally aggregated spatial data often involve detecting spatial health disparities among neighboring regions on a map of disease mortality or incidence rates. Analyzing such data introduces spatial…

Methodology · Statistics 2025-11-21 Kyle Lin Wu , Sudipto Banerjee

The Cox model is an indispensable tool for time-to-event analysis, particularly in biomedical research. However, medicine is undergoing a profound transformation, generating data at an unprecedented scale, which opens new frontiers to study…

Methodology · Statistics 2023-03-07 Alexander W. Jung , Moritz Gerstung

Dependent survival data arise in many contexts. One context is clustered survival data, where survival data are collected on clusters such as families or medical centers. Dependent survival data also arise when multiple survival times are…

Methodology · Statistics 2022-05-12 Malka Gorfine , David M. Zucker

This paper presents a functional linear Cox regression model with frailty to tackle unobserved heterogeneity in survival data with functional covariates. While traditional Cox models are common, they struggle to incorporate frailty effects…

Methodology · Statistics 2025-01-14 Deniz Inan , Ufuk Beyaztas , Carmen D. Tekwe , Xiwei Chen , Roger S. Zoh

We have developed a new signature-based spatial scan statistic for functional data (SigFSS). This scan statistic can be applied to both univariate and multivariate functional data. In a simulation study, SigFSS almost always performed…

Methodology · Statistics 2025-12-01 Camille Frévent

Epidemic data often possess certain characteristics, such as the presence of many zeros, the spatial nature of the disease spread mechanism or environmental noise. This paper addresses these issues via suitable Bayesian modelling. In doing…

Applications · Statistics 2014-03-10 C. Malesios , N. Demiris , K. Kalogeropoulos , I. Ntzoufras

This work proposes a two-step method to enhance disease risk estimation in small areas by integrating spatiotemporal cluster detection within a Bayesian hierarchical spatiotemporal model. First, we introduce an efficient…

Methodology · Statistics 2026-04-14 G. Santafé , A. Adin , M. D. Ugarte

Dynamical phenomena such as infectious diseases are often investigated by following up subjects longitudinally, thus generating time to event data. The spatial aspect of such data is also of primordial importance, as many infectious…

Methodology · Statistics 2020-10-13 Ajmal Oodally , Estelle Kuhn , Klara Goethals , Luc Duchateau

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction-diffusion processes are widely used to model such behaviour in disciplines ranging from biology to…

Statistical Mechanics · Physics 2016-08-23 David Schnoerr , Ramon Grima , Guido Sanguinetti

We have developed two scan statistics for detecting clusters of functional data indexed in space. The first method is based on an adaptation of a functional analysis of variance and the second one is based on a distribution-free spatial…

Methodology · Statistics 2021-03-10 Camille Frévent , Mohamed-Salem Ahmed , Matthieu Marbac , Michaël Genin

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran
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