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While there are many well-developed data science methods for classification and regression, there are relatively few methods for working with right-censored data. Here, we present "survival stacking": a method for casting survival analysis…

统计方法学 · 统计学 2021-07-29 Erin Craig , Chenyang Zhong , Robert Tibshirani

The instability in the selection of models is a major concern with data sets containing a large number of covariates. This paper deals with variable selection methodology in the case of high-dimensional problems where the response variable…

应用统计 · 统计学 2012-03-23 Marie Walschaerts , Eve Leconte , Philippe Besse

Over the last couple of decades, several copula based methods have been proposed in the literature to test for the independence among several random variables. But these existing tests are not invariant under monotone transformations of the…

统计理论 · 数学 2019-11-15 Angshuman Roy , Anil Ghosh , Alok Goswami , C. A. Murthy

The use of cumulative incidence functions for characterizing the risk of one type of event in the presence of others has become increasingly popular over the past decade. The problems of modeling, estimation and inference have been treated…

统计方法学 · 统计学 2020-11-16 Youngjoo Cho , Annette M. Molinaro , Chen Hu , Robert L. Strawderman

We introduce regenerative tree growth processes as consistent families of random trees with n labelled leaves, n>=1, with a regenerative property at branch points. This framework includes growth processes for exchangeably labelled Markov…

概率论 · 数学 2013-09-30 Jim Pitman , Douglas Rizzolo , Matthias Winkel

An accurate model of a patient's individual survival distribution can help determine the appropriate treatment for terminal patients. Unfortunately, risk scores (e.g., from Cox Proportional Hazard models) do not provide survival…

机器学习 · 计算机科学 2020-07-08 Humza Haider , Bret Hoehn , Sarah Davis , Russell Greiner

Interval-censored data analysis is important in biomedical statistics for any type of time-to-event response where the time of response is not known exactly, but rather only known to occur between two assessment times. Many clinical trials…

统计方法学 · 统计学 2019-06-12 Weichi Yao , Halina Frydman , Jeffrey S. Simonoff

We extend classical results on simple varieties of trees (asymptotic enumeration, average behavior of tree parameters) to trees counted by their number of leaves. Motivated by genome comparison of related species, we then apply these…

组合数学 · 数学 2016-10-03 Mathilde Bouvel , Marni Mishna , Cyril Nicaud

In dependently censored survival data, the usual assumption of independent censoring or an incorrect specification of the correlation between the event and censoring times can bias marginal survival inference. Likelihood-based estimation of…

统计方法学 · 统计学 2026-04-07 Hyun-Soo Zhang , Inkyung Jung , Chung Mo Nam

This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function…

统计方法学 · 统计学 2025-04-10 Félix Belzunce , Carolina Martínez-Riquelme , Jaime Valenciano

We introduce random survival forests, a random forests method for the analysis of right-censored survival data. New survival splitting rules for growing survival trees are introduced, as is a new missing data algorithm for imputing missing…

应用统计 · 统计学 2008-11-12 Hemant Ishwaran , Udaya B. Kogalur , Eugene H. Blackstone , Michael S. Lauer

Survival analysis is a challenging variation of regression modeling because of the presence of censoring, where the outcome measurement is only partially known, due to, for example, loss to follow up. Such problems come up frequently in…

机器学习 · 计算机科学 2022-06-28 Chirag Nagpal , Steve Yadlowsky , Negar Rostamzadeh , Katherine Heller

In survival analysis, estimating the conditional survival function given predictors is often of interest. There is a growing trend in the development of deep learning methods for analyzing censored time-to-event data, especially when…

机器学习 · 统计学 2025-03-13 Sehwan Kim , Rui Wang , Wenbin Lu

In this paper, we considered the problem of dependent censoring models with a positive probability that the times of failure are equal. In this context, we proposed to consider the Marshall-Olkin type model and studied some properties of…

统计理论 · 数学 2023-09-08 Mikael Escobar-Bach , Salima Helali

Although the Cox proportional hazards model is well established and extensively used in the analysis of survival data, the proportional hazards (PH) assumption may not always hold in practical scenarios. The class of semiparametric…

统计方法学 · 统计学 2025-10-21 Junkai Yin , Yue Zhang , Zhangsheng Yu

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.…

机器学习 · 统计学 2023-09-15 Mikael Escobar-Bach , Olivier Goudet

We propose a novel Dirichlet-based P\'olya tree (D-P tree) prior on the copula and based on the D-P tree prior, a nonparametric Bayesian inference procedure. Through theoretical analysis and simulations, we are able to show that the…

统计方法学 · 统计学 2017-02-24 Shaoyang Ning , Neil Shephard

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

统计方法学 · 统计学 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

Clinical and genomic models are both used to predict breast cancer outcomes, but they are often combined using simple linear rules that do not account for how their risk scores relate, especially at the extremes. Using the METABRIC breast…

机器学习 · 计算机科学 2025-11-25 Agnideep Aich , Sameera Hewage , Md Monzur Murshed

A characteristic feature of time-to-event data analysis is possible censoring of the event time. Most of the statistical learning methods for handling censored data are limited by the assumption of independent censoring, even if this can…

统计方法学 · 统计学 2022-10-27 Alise Danielle Midtfjord , Riccardo De Bin , Arne Bang Huseby