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An increasing number of control techniques are introduced to HIV infection problem to explore the options of helping clinical testing, optimizing drug treatments and to study the drug resistance situations. In such cases, complete/accurate…

最优化与控制 · 数学 2019-07-17 Fei Sun , Kamran Turkoglu

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

In this paper, we obtain general representations for the joint distributions and copulas of arbitrary dependent random variables absolutely continuous with respect to the product of given one-dimensional marginal distributions. The…

统计理论 · 数学 2016-08-16 Victor H. de la Peña , Rustam Ibragimov , Shaturgun Sharakhmetov

We propose an extension of Markov-switching generalized additive models for location, scale, and shape (MS-GAMLSS) that allows covariates to influence not only the parameters of the state-dependent distributions but also the state…

统计方法学 · 统计学 2026-01-08 Katharina Ammann , Timo Adam , Jan-Ole Koslik

A new family of matrix variate distributions indexed by elliptical models are proposed in this work. The so called \emph{multimatricvariate distributions} emerge as a generalization of the bimatrix variate distributions based on matrix…

统计理论 · 数学 2018-07-19 José A. Díaz-García , Frencisco J. Caro-Lopera

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

应用统计 · 统计学 2016-01-12 Francisco J. Rubio , Marc G. Genton

A class of multivariate mixed survival models for continuous and discrete time with a complex covariance structure is introduced in a context of quantitative genetic applications. The methods introduced can be used in many applications in…

应用统计 · 统计学 2014-05-06 Rafael Pimentel Maia , Per Madsen , Rodrigo Labouriau

Standard Gaussian graphical models (GGMs) implicitly assume that the conditional independence among variables is common to all observations in the sample. However, in practice, observations are usually collected form heterogeneous…

统计方法学 · 统计学 2010-01-26 Abel Rodriguez , Alex Lenkoski , Adrian Dobra

Modeling and computation for multivariate longitudinal surveys have proven challenging, particularly when data are not all continuous and Gaussian but contain discrete measurements. In many social science surveys, study participants are…

应用统计 · 统计学 2016-06-09 Tsuyoshi Kunihama , Carolyn T. Halpern , Amy H. Herring

Randomized response (RR) designs are used to collect response data about sensitive behaviors (e.g., criminal behavior, sexual desires). The modeling of RR data is more complex, since it requires a description of the RR process. For the…

统计方法学 · 统计学 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Duco Veen

Traditional survival analysis techniques focus on the occurrence of failures over the time. During analysis of such events, ignoring the related unobserved covariates or heterogeneity involved in data sample may leads us to adverse…

统计方法学 · 统计学 2021-12-22 Shikhar Tyagi , Arvind Pandey , David D Hanagal

Longitudinal studies frequently incorporate covariates that evolve over time, creating complex dependence structures between outcomes and predictors. When covariates are time dependent, standard power analysis tools--largely developed for…

统计方法学 · 统计学 2026-05-29 Niloofar Ramezani , Oliver Hurst

We propose a novel approach for modeling multivariate longitudinal data in the presence of unobserved heterogeneity for the analysis of the Health and Retirement Study (HRS) data. Our proposal can be cast within the framework of linear…

统计方法学 · 统计学 2015-09-17 Laura Anderlucci , Cinzia Viroli

Biased sampling designs can be highly efficient when studying rare (binary) or low variability (continuous) endpoints. We consider longitudinal data settings in which the probability of being sampled depends on a repeatedly measured…

统计方法学 · 统计学 2020-01-14 Lee S. McDaniel , Jonathan S. Schildcrout , Enrique F. Schisterman , Paul J. Rathouz

Longitudinal imaging studies are essential to understanding the neural development of neuropsychiatric disorders, substance use disorders, and the normal brain. The main objective of this paper is to develop a two-stage adjusted…

应用统计 · 统计学 2011-08-12 Xiaoyan Shi , Joseph G. Ibrahim , Jeffrey Lieberman , Martin Styner , Yimei Li , Hongtu Zhu

Normalizing flows, a popular class of deep generative models, often fail to represent extreme phenomena observed in real-world processes. In particular, existing normalizing flow architectures struggle to model multivariate extremes,…

机器学习 · 计算机科学 2022-05-04 Andrew McDonald , Pang-Ning Tan , Lifeng Luo

High-dimensional mixed data as a combination of both continuous and ordinal variables are widely seen in many research areas such as genomic studies and survey data analysis. Estimating the underlying correlation among mixed data is hence…

统计方法学 · 统计学 2018-09-18 Xiaoyun Quan , James G. Booth , Martin T. Wells

Use copula to model dependency of variable extends multivariate gaussian assumption. In this paper we first empirically studied copula regression model with continous response. Both simulation study and real data study are given. Secondly…

统计方法学 · 统计学 2021-01-05 Weijian Luo , Mai Wo

We study within-host HIV dynamics using a three--component nonlinear ordinary differential equation model for healthy CD4$^{+}$ T cells, infected CD4$^{+}$ T cells, and free virus. In addition to the baseline model without treatment, we…

数值分析 · 数学 2025-12-16 Abdul Rab

Mixture modelling using elliptical distributions promises enhanced robustness, flexibility and stability over the widely employed Gaussian mixture model (GMM). However, existing studies based on the elliptical mixture model (EMM) are…

机器学习 · 计算机科学 2020-09-30 Shengxi Li , Zeyang Yu , Danilo Mandic
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