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Spatial small area estimation models have become very popular in some contexts, such as disease mapping. Data in disease mapping studies are exhaustive, that is, the available data are supposed to be a complete register of all the…

I present three models of plant--pathogen interactions. The models are stochastic and spatially explicit at the scale of individual plants. For each model, I use a version of pair approximation or moment closure along with a separation of…

数值分析 · 数学 2025-10-20 David H. Brown

Nonlinear dynamical stochastic models are ubiquitous in different areas. Excitable media models are typical examples with large state dimensions. Their statistical properties are often of great interest but are also very challenging to…

统计理论 · 数学 2019-01-29 Nan Chen , Andrew J. Majda , Xin T. Tong

A central task in the analysis of human movement behavior is to determine systematic patterns and differences across experimental conditions, participants and repetitions. This is possible because human movement is highly regular, being…

应用统计 · 统计学 2023-01-23 Lars Lau Raket , Britta Grimme , Gregor Schöner , Christian Igel , Bo Markussen

Assessing associations between a response of interest and a set of covariates in spatial areal models is the leitmotiv of ecological regression. However, the presence of spatially correlated random effects can mask or even bias estimates of…

统计方法学 · 统计学 2021-06-02 A. Adin , T. Goicoa , J. S. Hodges , P. Schnell , M. D. Ugarte

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

应用统计 · 统计学 2018-07-04 Nandini Kannan , Debasis Kundu

In credit risk analysis, survival models with fixed and time-varying covariates are widely used to predict a borrower's time-to-event. When the time-varying drivers are endogenous, modelling jointly the evolution of the survival time and…

风险管理 · 定量金融 2025-09-03 Victor Medina-Olivares , Finn Lindgren , Raffaella Calabrese , Jonathan Crook

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the prop- erties are (approximately) constant for some time and then slowly…

统计方法学 · 统计学 2014-03-18 Michael Vogt , Holger Dette

Modelling epidemics is crucial for understanding the emergence, transmission, impact and control of diseases. Spatial individual-level models (ILMs) that account for population heterogeneity are a useful tool, accounting for factors such as…

统计计算 · 统计学 2024-05-03 Chinmoy Roy Rahul , Rob Deardon

In this paper we explore a covariance spectral modelling strategy for spatial-temporal processes which involves a spectral approach for time but a covariance approach for space.It facilitates the analysis of coherence between the temporal…

统计方法学 · 统计学 2014-09-17 A. M. Mosammam , J. T. Kent

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

机器学习 · 统计学 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

物理与社会 · 物理学 2025-11-20 Zsófia Simon , Jari Saramäki

Small-area mortality estimation is inherently difficult, as random fluctuations from low death counts can obscure real geographic differences. We introduce a flexible model that borrows strength across age, space, and time to estimate…

应用统计 · 统计学 2025-11-25 Jacob Martin , Carlo Giovanni Camarda

Many physical processes involve spatio-temporal observations, which can be studied at different spatial and temporal scales. For example, rainfall data measured daily by rain gauges can be considered at daily, monthly or annual temporal…

应用统计 · 统计学 2017-11-02 Adway Mitra

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

定量方法 · 定量生物学 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

In epidemiological studies of air pollution and public health, estimating the health impact of exposure to air pollution may be hindered by the unknown functional form of the exposure-outcome association and by unmeasured confounding…

统计方法学 · 统计学 2026-01-28 Carlo Zaccardi , Pasquale Valentini , Luigi Ippoliti , Alexandra M. Schmidt

With the rapid advances of data acquisition techniques, spatio-temporal data are becoming increasingly abundant in a diverse array of disciplines. Here we develop spatio-temporal regression methodology for analyzing large amounts of…

统计方法学 · 统计学 2021-12-01 Ting Fung Ma , Fangfang Wang , Jun Zhu , Anthony R. Ives , Katarzyna E. Lewińska

Unmeasured spatial confounding complicates exposure effect estimation in environmental health studies. This problem is exacerbated in studies with multiple health outcomes and environmental exposure variables, as the source and magnitude of…

Among the proposals for joint disease mapping, the shared component model has become more popular. Another recent advance to strengthen inference of disease data has been the extension of purely spatial models to include time and space-time…

应用统计 · 统计学 2020-05-04 Behzad Mahaki , Yadollah Mehrabi , Amir Kavousi , Volker J Schmid