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Missing data are frequently encountered in various disciplines and can be divided into three categories: missing completely at random (MCAR), missing at random (MAR) and missing not at random (MNAR). Valid statistical approaches to missing…

Methodology · Statistics 2021-05-28 Hairu Wang , Zhiping Lu , Yukun Liu

This paper considers the problem of kernel regression and classification with possibly unobservable response variables in the data, where the mechanism that causes the absence of information is unknown and can depend on both predictors and…

Statistics Theory · Mathematics 2022-12-07 Majid Mojirsheibani , William Pouliot , Andre Shakhbandaryan

Uncertainty quantification of prediction models through prediction sets is increasingly popular and successful, but most existing methods rely on directly observing the outcome and do not appropriately handle censored outcomes, such as…

Methodology · Statistics 2025-05-06 Wenwen Si , Hongxiang Qiu

Imputation methods for dealing with incomplete data typically assume that the missingness mechanism is at random (MAR). These methods can also be applied to missing not at random (MNAR) situations, where the user specifies some adjustment…

Methodology · Statistics 2024-04-24 Shahab Jolani , Stef van Buuren

We develop flexible multi-parameter regression survival models for interval censored survival data arising in longitudinal prospective studies and longitudinal randomised controlled clinical trials. A multi-parameter Weibull regression…

Methodology · Statistics 2019-01-29 Defen Peng , Gilbert MacKenzie , Kevin Burke

A new method called the Survival Beran-based Neural Importance Model (SurvBeNIM) is proposed. It aims to explain predictions of machine learning survival models, which are in the form of survival or cumulative hazard functions. The main…

Machine Learning · Computer Science 2023-12-12 Lev V. Utkin , Danila Y. Eremenko , Andrei V. Konstantinov

One straightforward metric to evaluate a survival prediction model is based on the Mean Absolute Error (MAE) -- the average of the absolute difference between the time predicted by the model and the true event time, over all subjects.…

Machine Learning · Computer Science 2023-06-05 Shi-ang Qi , Neeraj Kumar , Mahtab Farrokh , Weijie Sun , Li-Hao Kuan , Rajesh Ranganath , Ricardo Henao , Russell Greiner

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…

Statistics Theory · Mathematics 2019-03-12 Marek Omelka , Šárka Hudecová , Natalie Neumeyer

A novel and comprehensive methodology designed to tackle the challenges posed by extreme values in the context of random censorship is introduced. The main focus is on the analysis of integrals based on the product-limit estimator of…

Statistics Theory · Mathematics 2025-02-18 Martin Bladt , Igor Rodionov

Databases derived from electronic health records (EHRs) are commonly subject to left truncation, a type of selection bias induced due to patients needing to survive long enough to satisfy certain entry criteria. Standard methods to adjust…

Methodology · Statistics 2022-03-01 Arjun Sondhi

The present paper deals with a nonparametric M-estimation for right censored regression model with stationary ergodic data. Defined as an implicit function, a kernel type estimator of a family of robust regression is considered when the…

Methodology · Statistics 2016-05-03 Mohamed Chaouch , Naamane Laib , Elias Ould-Said

Survival analysis can sometimes involve individuals who will not experience the event of interest, forming what is known as the cured group. Identifying such individuals is not always possible beforehand, as they provide only right-censored…

Methodology · Statistics 2024-01-03 Jinqing Li , Jun Ma

We study the effects of missingness on the estimation of population parameters. Moving beyond restrictive missing completely at random (MCAR) assumptions, we first formulate a missing data analogue of Huber's arbitrary…

Statistics Theory · Mathematics 2026-04-28 Tianyi Ma , Kabir A. Verchand , Thomas B. Berrett , Tengyao Wang , Richard J. Samworth

In this paper we introduce a mixture cure model with a linear hazard rate regression model for the event times. Cure models are statistical models for event times that take into account that a fraction of the population might never…

Statistics Theory · Mathematics 2020-11-26 Emil Aas Stoltenberg

Modeling symptom progression to identify informative subjects for a new Huntington's disease clinical trial is problematic since time to diagnosis, a key covariate, can be heavily censored. Imputation is an appealing strategy where censored…

Methodology · Statistics 2025-02-11 Sarah C. Lotspeich , Tanya P. Garcia

The problem of nonparametric functional data classification and bandwidth selection is considered when the response variable, also called the class label, might be missing but not at random (MNAR). This setup is broadly acknowledged to be…

Methodology · Statistics 2025-09-12 Majid Mojirsheibani

Consider a random vector (X, T), where X is d-dimensional and T is one-dimensional. We suppose that the random variable T is subject to random right censoring and satisfies the $\alpha$-mixing property. The aim of this paper is to study the…

Statistics Theory · Mathematics 2019-10-07 Bouhadjera Feriel , Elias Ould Said

Interval-censored multi-state data arise in many studies of chronic diseases, where the health status of a subject can be characterized by a finite number of disease states and the transition between any two states is only known to occur…

Methodology · Statistics 2022-09-19 Yu Gu , Donglin Zeng , Gerardo Heiss , D. Y. Lin

While analysing time-to-event data, it is possible that a certain fraction of subjects will never experience the event of interest and they are said to be cured. When this feature of survival models is taken into account, the models are…

Methodology · Statistics 2020-01-27 Khandoker Akib Mohammad , Yuichi Hirose , Budhi Surya , Yuan Yao

In many real problems, dependence structures more general than exchangeability are required. For instance, in some settings partial exchangeability is a more reasonable assumption. For this reason, vectors of dependent Bayesian…

Methodology · Statistics 2018-03-20 Alan Riva Palacio , Fabrizio Leisen