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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

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

Machine Learning · Statistics 2019-02-12 Alexander Hanbo Li , Jelena Bradic

This paper proposes a new test for the comparison of conditional quantile curves when the outcome of interest, typically a duration, is subject to right censoring. The test can be applied both in the case of two independent samples and for…

Methodology · Statistics 2023-02-08 Lorenzo Tedesco , Ingrid Van Keilegom

Breast cancer patients may experience relapse or death after surgery during the follow-up period, leading to dependent censoring of relapse. This phenomenon, known as semi-competing risk, imposes challenges in analyzing treatment effects on…

Methodology · Statistics 2024-07-03 Tonghui Yu , Mengjiao Peng , Yifan Cui , Elynn Chen , Chixiang Chen

The inactivity time, or lost lifespan specifically for mortality data, concerns time from occurrence of an event of interest to the current time point and has recently emerged as a new summary measure for cumulative information inherent in…

Methodology · Statistics 2020-04-14 Lauren C. Balmert , Ruosha Li , Limin Peng , Jong-Hyeon Jeong

Cardiovascular diseases are major causes of mortality globally. They often co-occur and are interrelated, leading to partial-order relationships among their onset times. However, these onset times are subject to informative censoring due to…

Methodology · Statistics 2026-04-07 Tonghui Yu , Liming Xiang

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

We consider quantile regression processes from censored data under dependent data structures and derive a uniform Bahadur representation for those processes. We also consider cases where the dimension of the parameter in the quantile…

Statistics Theory · Mathematics 2013-06-14 Stanislav Volgushev , Jens Wagener , Holger Dette

Quantile regression is a field with steadily growing importance in statistical modeling. It is a complementary method to linear regression, since computing a range of conditional quantile functions provides a more accurate modelling of the…

Methodology · Statistics 2022-05-09 Marija Tepegjozova , Jing Zhou , Gerda Claeskens , Claudia Czado

In the presence of right-censored data with covariates, the conditional Kaplan-Meier estimator (also known as the Beran estimator) consistently estimates the conditional survival function of the random follow-up for the event of interest.…

Machine Learning · Statistics 2023-09-15 Mikael Escobar-Bach , Olivier Goudet

The partial copula provides a method for describing the dependence between two random variables $X$ and $Y$ conditional on a third random vector $Z$ in terms of nonparametric residuals $U_1$ and $U_2$. This paper develops a nonparametric…

Statistics Theory · Mathematics 2021-04-30 Lasse Petersen , Niels Richard Hansen

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…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin , Donglin Zeng

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

Statistics Theory · Mathematics 2013-02-04 Chenlei Leng , Xingwei Tong

The computational prediction algorithm of neural network, or deep learning, has drawn much attention recently in statistics as well as in image recognition and natural language processing. Particularly in statistical application for…

Machine Learning · Statistics 2021-04-13 Yichen Jia , Jong-Hyeon Jeong

In survival analysis the random censorship model refers to censoring and survival times being independent of each other. It is one of the fundamental assumptions in the theory of survival analysis. We explain the reason for it being so…

Applications · Statistics 2017-03-06 Damjan Krstajic

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

Methodology · Statistics 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

The usual parametric models for survival data are of the following form. Some parametrically specified hazard rate $\alpha(s,\theta)$ is assumed for possibly censored random life times $X_1^0,\ldots,X_n^0$; one observes only…

Methodology · Statistics 2026-03-25 Nils Lid Hjort

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…

Methodology · Statistics 2014-12-09 Shengchun Kong , Bin Nan

In this article, we develop a semiparametric Bayesian estimation and model selection approach for partially linear additive models in conditional quantile regression. The asymmetric Laplace distribution provides a mechanism for Bayesian…

Computation · Statistics 2013-07-11 Yuao Hu , Kaifeng Zhao , Heng Lian

A comprehensive, unified approach to modeling arbitrarily censored spatial survival data is presented for the three most commonly-used semiparametric models: proportional hazards, proportional odds, and accelerated failure time. Unlike many…

Applications · Statistics 2017-07-04 Haiming Zhou , Timothy Hanson