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Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

统计方法学 · 统计学 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

Joint models are well suited to modelling linked data from laboratories and health registers. However, there are few examples of joint models that allow for (a) multiple markers, (b) multiple survival outcomes (including terminal events,…

An adaptive bandwidth selection procedure for the mixture kernel in the maximum mean discrepancy (MMD) for fitting generative moment matching networks (GMMNs) is introduced, and its ability to improve the learning of copula random number…

机器学习 · 统计学 2025-09-01 Marius Hofert , Gan Yao

Distributed machine learning (DML) over time-varying networks can be an enabler for emerging decentralized ML applications such as autonomous driving and drone fleeting. However, the commonly used weighted arithmetic mean model aggregation…

机器学习 · 计算机科学 2022-02-22 Haizhou Du , Ryan Yang , Yijian Chen , Qiao Xiang , Andre Wibisono , Wei Huang

Joint modeling has become increasingly popular for characterizing the association between one or more longitudinal biomarkers and competing risks time-to-event outcomes. However, semiparametric multivariate joint modeling for large-scale…

统计方法学 · 统计学 2025-06-17 Shanpeng Li , Emily Ouyang , Jin Zhou , Xinping Cui , Gang Li

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

统计方法学 · 统计学 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

Multiple stochastic signals possess inherent statistical correlations, yet conventional sampling methods that process each channel independently result in data redundancy. To leverage this correlation for efficient sampling, we model…

信号处理 · 电气工程与系统科学 2025-09-18 Lin Jin , Hang Sheng , Hui Feng , Bo Hu

It is well-known that trimmed sample means are robust against heavy tails and data contamination. This paper analyzes the performance of trimmed means and related methods in two novel contexts. The first one consists of estimating…

统计理论 · 数学 2025-12-03 Roberto I. Oliveira , Lucas Resende

Probabilistic Manifold Decomposition (PMD)\cite{doi:10.1137/25M1738863}, developed in our earlier work, provides a nonlinear model reduction by embedding high-dimensional dynamics onto low-dimensional probabilistic manifolds. The PMD has…

数值分析 · 数学 2026-01-13 Jiaming Guo , Dunhui Xiao

Modern time series data often exhibit complex dependence and structural changes which are not easily characterised by shifts in the mean or model parameters. We propose a nonparametric data segmentation methodology for multivariate time…

统计方法学 · 统计学 2025-08-06 Euan T. McGonigle , Haeran Cho

A new realized conditional autoregressive Value-at-Risk (VaR) framework is proposed, through incorporating a measurement equation into the original quantile regression model. The framework is further extended by employing various Expected…

风险管理 · 定量金融 2021-01-18 Chao Wang , Richard Gerlach , Qian Chen

Shape-restricted inferences have exhibited empirical success in various applications with survival data. However, certain works fall short in providing a rigorous theoretical justification and an easy-to-use variance estimator with…

统计理论 · 数学 2024-07-10 Junjun Lang , Yukun Liu , Jing Qin

The theory of quasi-arithmetic means is a powerful tool in the study of covariance functions across space-time. In the present study we use quasi-arithmetic functionals to make inferences about the permissibility of averages of functions…

概率论 · 数学 2007-06-13 E. Porcu , J. Mateu , G. Christakos

Estimation of the mean vector and covariance matrix is of central importance in the analysis of multivariate data. In the framework of generalized linear models, usually the variances are certain functions of the means with the normal…

统计方法学 · 统计学 2023-01-25 Anupam Kundu , Mohsen Pourahmadi

While matrix variate regression models have been studied in many existing works, classical statistical and computational methods for the analysis of the regression coefficient estimation are highly affected by high dimensional and noisy…

机器学习 · 统计学 2022-05-17 Hsin-Hsiung Huang , Feng Yu , Xing Fan , Teng Zhang

Deciding which predictors to use plays an integral role in deriving statistical models in a wide range of applications. Motivated by the challenges of predicting events across a telecommunications network, we propose a semi-automated, joint…

统计方法学 · 统计学 2020-01-10 Aaron Lowther , Paul Fearnhead , Matthew Nunes , Kjeld Jensen

Using a hierarchical construction, we develop methods for a wide and flexible class of models by taking a fully parametric approach to generalized linear mixed models with complex covariance dependence. The Laplace approximation is used to…

统计方法学 · 统计学 2024-07-31 Jay M. Ver Hoef , Eryn Blagg , Michael Dumelle , Philip M. Dixon , Dale L. Zimmerman , Paul Conn

Interval-censored competing risks data arise when each study subject may experience an event or failure from one of several causes and the failure time is not observed exactly but rather known to lie in an interval between two successive…

统计方法学 · 统计学 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

We consider generalized linear regression analysis with left-censored covariate due to the lower limit of detection. Complete case analysis by eliminating observations with values below limit of detection yields valid estimates for…

统计方法学 · 统计学 2014-12-09 Shengchun Kong , Bin Nan

Contemporary time series data often feature objects connected by a social network that naturally induces temporal dependence involving connected neighbours. The network vector autoregressive model is useful for describing the influence of…

统计方法学 · 统计学 2023-09-18 Weichi Wu , Chenlei Leng