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This paper considers general term structure models like the ones appearing in portfolio credit risk modelling or life insurance. We give a general model starting from families of forward rates driven by infinitely many Brownian motions and…

Pricing of Securities · Quantitative Finance 2013-06-27 Stefan Tappe , Thorsten Schmidt

We extend the lifecycle model (LCM) of consumption over a random horizon (a.k.a. the Yaari model) to a world in which (i.) the force of mortality obeys a diffusion process as opposed to being deterministic, and (ii.) a consumer can adapt…

Risk Management · Quantitative Finance 2012-05-23 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

We introduce numerical methods for simulating the diffusive motion of rigid bodies of arbitrary shape immersed in a viscous fluid. We parameterize the orientation of the bodies using normalized quaternions, which are numerically robust,…

Soft Condensed Matter · Physics 2015-10-28 Steven Delong , Florencio Balboa Usabiaga , Aleksandar Donev

We introduce the Historical and Dynamic Volatility Ratios (HVR/DVR) and show that equity and index volatilities are cointegrated at intraday and daily horizons. This allows us to construct a VECM to forecast portfolio volatility by…

Portfolio Management · Quantitative Finance 2025-09-30 Gabriele Casto

We investigate joint modeling of longevity trends using the spatial statistical framework of Gaussian Process regression. Our analysis is motivated by the Human Mortality Database (HMD) that provides unified raw mortality tables for nearly…

Applications · Statistics 2020-03-06 Nhan Huynh , Mike Ludkovski

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…

We employ a Bayesian modelling technique for high dimensional cointegration estimation to construct low volatility portfolios from a large number of stocks. The proposed Bayesian framework effectively identifies sparse and important…

Applications · Statistics 2024-07-16 Parley R Yang , Alexander Y Shestopaloff

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

Long-term adherence to medication is a critical factor in preventing chronic diseases, such as cardiovascular disease. To address poor adherence, physicians may recommend adherence-improving interventions; however, such interventions are…

Optimization and Control · Mathematics 2026-02-24 Daniel Otero-Leon , Mariel Lavieri , Brian Denton , Jeremy Sussman , Rodney Hayward

In medicine, comorbidities refer to the presence of multiple, co-occurring diseases. Due to their co-occurring nature, the course of one comorbidity is often highly dependent on the course of the other disease and, hence, treatments can…

Applications · Statistics 2021-03-16 Basil Maag , Stefan Feuerriegel , Mathias Kraus , Maytal Saar-Tsechansky , Thomas Züger

Controlling False Discovery Rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring metrics…

Machine Learning · Statistics 2022-10-10 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

We provide a short-time large deviation principle (LDP) for stochastic volatility models, where the volatility is expressed as a function of a Volterra process. This LDP does not require strict self-similarity assumptions on the Volterra…

Mathematical Finance · Quantitative Finance 2023-11-14 Giacomo Giorgio , Barbara Pacchiarotti , Paolo Pigato

The aim of this article is to analyze data from multiple repairable systems under the presence of dependent competing risks. In order to model this dependence structure, we adopted the well-known shared frailty model. This model provides a…

Longitudinal omics data (LOD) analysis is essential for understanding the dynamics of biological processes and disease progression over time. This review explores various statistical and computational approaches for analyzing such data,…

Methodology · Statistics 2025-06-16 Ali R. Taheriyoun , Allen Ross , Abolfazl Safikhani , Damoon Soudbakhsh , Ali Rahnavard

Late-life depression (LLD) is a highly prevalent mood disorder occurring in older adults and is frequently accompanied by cognitive impairment (CI). Studies have shown that LLD may increase the risk of Alzheimer's disease (AD). However, the…

Image and Video Processing · Electrical Eng. & Systems 2022-12-27 Lintao Zhang , Lihong Wang , Minhui Yu , Rong Wu , David C. Steffens , Guy G. Potter , Mingxia Liu

We consider the problem of learning predictive models from longitudinal data, consisting of irregularly repeated, sparse observations from a set of individuals over time. Such data often exhibit {\em longitudinal correlation} (LC)…

Machine Learning · Statistics 2019-11-25 Junjie Liang , Dongkuan Xu , Yiwei Sun , Vasant Honavar

Myocardial Infarction is a main cause of mortality globally, and accurate risk prediction is crucial for improving patient outcomes. Machine Learning techniques have shown promise in identifying high-risk patients and predicting outcomes.…

Machine Learning · Computer Science 2024-04-24 Ana Letícia Garcez Vicente , Roseval Donisete Malaquias Junior , Roseli A. F. Romero

Accurately predicting the consequences of agents' actions is a key prerequisite for planning in robotic control. Model-based reinforcement learning (MBRL) is one paradigm which relies on the iterative learning and prediction of state-action…

Machine Learning · Computer Science 2022-03-21 Nathan Lambert , Kristofer Pister , Roberto Calandra

This paper describes a method for a model-based analysis of clinical safety data called multivariate Bayesian logistic regression (MBLR). Parallel logistic regression models are fit to a set of medically related issues, or response…

Methodology · Statistics 2012-10-02 William DuMouchel

In oncology clinical trials, tumor burden (TB) stands as a crucial longitudinal biomarker, reflecting the toll a tumor takes on a patient's prognosis. With certain treatments, the disease's natural progression shows the tumor burden…

Methodology · Statistics 2024-09-24 Ethan M. Alt , Yixiang Qu , Emily Damone , Jing-ou Liu , Chenguang Wang , Joseph G. Ibrahim