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This paper deals with unobserved heterogeneity in the survival dataset through Accelerated Failure Time (AFT) models under both frameworks--Bayesian and classical. The Bayesian approach of dealing with unobserved heterogeneity has recently…

应用统计 · 统计学 2017-09-12 Shaila Sharmin , Md Hasinur Rahaman Khan

Clinical time series data from electronic health records and medical registries offer unprecedented opportunities to understand patient trajectories and inform medical decision-making. However, leveraging such data presents significant…

机器学习 · 计算机科学 2025-11-21 Muhammad Aslanimoghanloo , Ahmed ElGazzar , Marcel van Gerven

A stochastic epidemic model accounting for the effect of contact-tracing on the spread of an infectious disease is studied. Precisely, individuals identified as infected may contribute to detecting other infectious individuals by providing…

概率论 · 数学 2009-03-28 Stéphan Clémençon , Viet Chi Tran , Hector De Arazoza

We propose a mean-field model of interacting point processes where each process has a memory of the time elapsed since its last event (age) and its recent past (leaky memory), generalizing Age-dependent Hawkes processes. The model is…

概率论 · 数学 2021-12-07 Valentin Schmutz

We investigate the use of transfer entropy (TE) as a proxy to detect the contact patterns of the population in epidemic processes. We first apply the measure to a classical age-stratified SIR model and observe that the recovered patterns…

物理与社会 · 物理学 2023-06-02 Tiago Martinelli , Alberto Aleta , Francisco A. Rodrigues , Yamir Moreno

Multi-parameter evidence synthesis (MPES) is receiving growing attention from the epidemiological community as a coherent and flexible analytical framework to accommodate a disparate body of evidence available to inform disease incidence…

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

物理与社会 · 物理学 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

Immune events such as infection, vaccination, and a combination of the two result in distinct time-dependent antibody responses in affected individuals. These responses and event prevalences combine non-trivially to govern antibody levels…

种群与进化 · 定量生物学 2024-04-16 Prajakta Bedekar , Rayanne A. Luke , Anthony J. Kearsley

We address the problem of modeling constrained hospital resources in the midst of the COVID-19 pandemic in order to inform decision-makers of future demand and assess the societal value of possible interventions. For broad applicability, we…

Hidden Markov jump processes are an attractive approach for modeling clinical disease progression data because they are explainable and capable of handling both irregularly sampled and noisy data. Most applications in this context consider…

统计方法学 · 统计学 2019-10-15 Rui Meng , Soper Braden , Jan Nygard , Mari Nygrad , Herbert Lee

Identifying key influencers from time series data without a known prior network structure is a challenging problem in various applications, from crime analysis to social media. While much work has focused on event-based time series…

动力系统 · 数学 2025-04-30 Naratip Santitissadeekorn , Martin Short , David J. B. Lloyd

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

统计理论 · 数学 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

In this paper, we propose an extension of the Hawkes process by incorporating a kernel based on the tempered Mittag-Leffler distribution. This is the generalization of the work presented in [10]. We derive analytical results for the…

概率论 · 数学 2024-08-22 Neha Gupta , Aditya Maheshwari

Multiple lines of evidence strongly suggest that infection hotspots, where a single individual infects many others, play a key role in the transmission dynamics of COVID-19. However, most of the existing epidemiological models fail to…

As a tool for capturing irregular temporal dependencies (rather than resorting to binning temporal observations to construct time series), Hawkes processes with exponential decay have seen widespread adoption across many application…

机器学习 · 计算机科学 2021-04-05 Tiago Santos , Florian Lemmerich , Denis Helic

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

物理与社会 · 物理学 2021-07-26 Hugo Dolan , Riccardo Rastelli

Infectious disease modeling is used to forecast epidemics and assess the effectiveness of intervention strategies. Although the core assumption of mass-action models of homogeneously mixed population is often implausible, they are…

物理与社会 · 物理学 2024-08-29 Thien-Minh Le , Jukka-Pekka Onnela

Survival analysis provides a well-established framework for modeling time-to-event data, with hazard and survival functions formally defined as population-level quantities. In applied work, however, these quantities are often interpreted as…

统计方法学 · 统计学 2026-03-26 Xijia Liu

In the context of multilevel longitudinal data, where sample units are collected in clusters, an important aspect that should be accounted for is the unobserved heterogeneity between sample units and between clusters. For this aim we…

统计理论 · 数学 2012-08-10 F. Bartolucci , M. Lupparelli

Terrorist activities often exhibit temporal and spatial clustering, making the multivariate Hawkes process (MHP) a useful statistical model for analysing terrorism across different geographic regions. However, terror attack data from the…

统计方法学 · 统计学 2025-03-27 Jason J. Lambe , Feng Chen , Tom Stindl , Tsz-Kit Jeffrey Kwan