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Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

机器学习 · 统计学 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

We are interested in survival analysis of hemodialysis patients for whom several biomarkers are recorded over time. Motivated by this challenging problem, we propose a general framework for multivariate joint longitudinal-survival modeling…

A common problem in clinical trials is to test whether the effect of an explanatory variable on a response of interest is similar between two groups, e.g. patient or treatment groups. In this regard, similarity is defined as equivalence up…

统计方法学 · 统计学 2024-01-12 Niklas Hagemann , Giampiero Marra , Frank Bretz , Kathrin Möllenhoff

In recent years, the growing availability of biomedical datasets featuring numerous longitudinal covariates has motivated the development of several multi-step methods for the dynamic prediction of survival outcomes. These methods employ…

统计方法学 · 统计学 2026-01-14 Mirko Signorelli , Sophie Retif

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

统计方法学 · 统计学 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

In this work we present a rigorous application of the Expectation Maximization algorithm to determine the marginal distributions and the dependence structure in a Gaussian copula model with missing data. We further show how to circumvent a…

机器学习 · 统计学 2022-01-17 Maximilian Kertel , Markus Pauly

Joint models (JM) for longitudinal and survival data have gained increasing interest and found applications in a wide range of clinical and biomedical settings. These models facilitate the understanding of the relationship between outcomes…

统计方法学 · 统计学 2023-08-25 Sida Chen , Danilo Alvares , Christopher Jackson , Jessica Barrett

Many problems in the geophysical sciences demand the ability to calibrate the parameters and predict the time evolution of complex dynamical models using sequentially-collected data. Here we introduce a general methodology for the joint…

统计计算 · 统计学 2018-12-12 Sara Pérez-Vieites , Inés P. Mariño , Joaquín Míguez

Aggregated data is commonplace in areas such as epidemiology and demography. For example, census data for a population is usually given as averages defined over time periods or spatial resolutions (cities, regions or countries). In this…

机器学习 · 统计学 2020-02-20 Fariba Yousefi , Michael Thomas Smith , Mauricio A. Álvarez

Insurance and annuity products covering several lives require the modelling of the joint distribution of future lifetimes. In the interest of simplifying calculations, it is common in practice to assume that the future lifetimes among a…

风险管理 · 定量金融 2016-01-19 François Dufresne , Enkelejd Hashorva , Gildas Ratovomirija , Youssouf Toukourou

Missing values with mixed data types is a common problem in a large number of machine learning applications such as processing of surveys and in different medical applications. Recently, Gaussian copula models have been suggested as a means…

机器学习 · 统计学 2021-07-02 Benjamin Christoffersen , Mark Clements , Keith Humphreys , Hedvig Kjellström

In recent medical studies, the combination of longitudinal measurements with time-to-event data has increased the demand for more sophisticated models without unbiased estimates. Joint models for longitudinal and survival data have been…

统计方法学 · 统计学 2025-08-01 Dionisio Silva Neto , Denis Rustand , Haavard Rue , Danilo Alvares , Vera L. Tomazella

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

应用统计 · 统计学 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

Predicting the dependencies between observations from multiple time series is critical for applications such as anomaly detection, financial risk management, causal analysis, or demand forecasting. However, the computational and numerical…

机器学习 · 计算机科学 2019-10-28 David Salinas , Michael Bohlke-Schneider , Laurent Callot , Roberto Medico , Jan Gasthaus

We are studying the problems of modeling and inference for multivariate count time series data with Poisson marginals. The focus is on linear and log-linear models. For studying the properties of such processes we develop a novel conceptual…

统计方法学 · 统计学 2017-04-10 Paul Doukhan , Konstantinos Fokianos , Bård Støve , Dag Tjøstheim

Not only does mobile health technology enable researchers to track changes in multiple longitudinal outcomes of interest and to record the occurrence of health-related events over time, but it also allows for the delivery of repeated…

We define a copula process which describes the dependencies between arbitrarily many random variables independently of their marginal distributions. As an example, we develop a stochastic volatility model, Gaussian Copula Process Volatility…

统计方法学 · 统计学 2010-06-24 Andrew Gordon Wilson , Zoubin Ghahramani

Missing observations are pervasive throughout empirical research, especially in the social sciences. Despite multiple approaches to dealing adequately with missing data, many scholars still fail to address this vital issue. In this paper,…

Non-terminal events can represent a meaningful change in a patient's life. Thus, better understanding and predicting their occurrence can bring valuable information to individuals. In a context where longitudinal markers could inform these…

统计方法学 · 统计学 2025-01-16 Juliette Ortholand , Stanley Durrleman , Sophie Tezenas du Montcel

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