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In this paper we study a mathematical model for an infectious disease such as Cholera without life-time immunity. Due to the different mobility for susceptible, infected human and recovered human hosts, the diffusion coefficients are…

偏微分方程分析 · 数学 2020-11-18 Hong-Ming Yin

With known cause of death (CoD), competing risk survival methods are applicable in estimating disease-specific survival. Relative survival analysis may be used to estimate disease-specific survival when cause of death is either unknown or…

统计方法学 · 统计学 2021-12-10 Reuben Adatorwovor , Aurelien Latouche , Jason P. Fine

In survival analysis, traditional models assume all individuals will eventually experience the event of interest. However, advances in therapeutics have led to multiple clinical contexts with potentially curative therapies, and in these…

In the analysis of survival data, it is usually assumed that any unit will experience the event of interest if it is observed for a sufficient long time. However, one can explicitly assume that an unknown proportion of the population under…

统计方法学 · 统计学 2014-05-15 Vincent Bremhorst , Philippe Lambert

In longitudinal studies, subjects may be lost to follow-up, or miss some of the planned visits, leading to incomplete response sequences. When the probability of non-response, conditional on the available covariates and the observed…

统计方法学 · 统计学 2017-07-10 Alessandra Spagnoli , Maria Francesca Marino , Marco Alfò

Frequency domain methods form a ubiquitous part of the statistical toolbox for time series analysis. In recent years, considerable interest has been given to the development of new spectral methodology and tools capturing dynamics in the…

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,…

Copulas are a fundamental tool for modelling multivariate dependencies in data, forming the method of choice in diverse fields and applications. However, the adoption of existing models for multimodal and high-dimensional dependencies is…

机器学习 · 统计学 2026-05-20 David Huk , Theodoros Damoulas

The continuous extension of a discrete random variable is amongst the computational methods used for estimation of multivariate normal copula-based models with discrete margins. Its advantage is that the likelihood can be derived…

统计方法学 · 统计学 2014-11-10 Aristidis K. Nikoloulopoulos

We propose and study a fully efficient method to estimate associations of an exposure with disease incidence when both, incident cases and prevalent cases, i.e. individuals who were diagnosed with the disease at some prior time point and…

统计方法学 · 统计学 2018-03-20 Marlena Maziarz , Yukun Liu , Jing Qin , Ruth Pfeiffer

Detection limits (DLs), where a variable is unable to be measured outside of a certain range, are common in research. Most approaches to handle DLs in the response variable implicitly make parametric assumptions on the distribution of data…

统计方法学 · 统计学 2022-07-07 Yuqi Tian , Chun Li , Shengxin Tu , Nathan T. James , Frank E. Harrell , Bryan E. Shepherd

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

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

统计方法学 · 统计学 2022-08-22 Thomas Nagler , Thibault Vatter

This paper deals with a situation when one is interested in the dependence structure of a multidimensional response variable in the presence of a multivariate covariate. It is assumed that the covariate affects only the marginal…

统计理论 · 数学 2019-03-12 Marek Omelka , Šárka Hudecová , Natalie Neumeyer

We propose a novel adaptive design for clinical trials with time-to-event outcomes and covariates (which may consist of or include biomarkers). Our method is based on the expected entropy of the posterior distribution of a proportional…

应用统计 · 统计学 2016-03-29 James E. Barrett

Cure models have been widely developed to estimate the cure fraction when some subjects never experience the event of interest. However these models were rarely focused on the estimation of the time-to-cure i.e. the delay elapsed between…

Many insurance products and pension plans provide benefits which are related to couples, and thus under influence of the survival status of two lives. Some studies show the future lifetime of couples is correlated. Three reasons are…

应用统计 · 统计学 2018-06-27 Amin Hassan Zadeh , Soroush Amirhashchi

Case-cohort design, an outcome-dependent sampling design for censored survival data, is increasingly used in biomedical research. The development of asymptotic theory for a case-cohort design in the current literature primarily relies on…

统计理论 · 数学 2012-04-13 Bin Nan , Jon A. Wellner

Probability density estimation from observed data constitutes a central task in statistics. In this brief, we focus on the problem of estimating the copula density associated to any observed data, as it fully describes the dependence…

机器学习 · 计算机科学 2025-07-09 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

In recent years, the development of technologies for causal inference with privacy preservation of distributed data has gained considerable attention. Many existing methods for distributed data focus on resolving the lack of subjects…

统计方法学 · 统计学 2024-01-18 Yuji Kawamata , Ryoki Motai , Yukihiko Okada , Akira Imakura , Tetsuya Sakurai
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