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Survival analysis is a fundamental tool for modeling time-to-event data in healthcare, engineering, and finance, where censored observations pose significant challenges. While traditional methods like the Beran estimator offer nonparametric…

机器学习 · 计算机科学 2025-06-13 Andrei V. Konstantinov , Vlada A. Efremenko , Lev V. Utkin

Big data is ubiquitous in practices, and it has also led to heavy computation burden. To reduce the calculation cost and ensure the effectiveness of parameter estimators, an optimal subset sampling method is proposed to estimate the…

统计方法学 · 统计学 2023-11-16 Haohui Han , Liya Fu

The restricted mean survival time (RMST) is a widely used quantity in survival analysis due to its straightforward interpretation. For instance, predicting the time to event based on patient attributes is of great interest when analyzing…

统计理论 · 数学 2025-03-11 Ariane Cwiling , Vittorio Perduca , Olivier Bouaziz

Win statistics, including the win ratio, net benefit, and win odds, summarize treatment effects on hierarchical composite endpoints by sequentially comparing patient pairs on component outcomes ordered by clinical importance, proceeding to…

统计方法学 · 统计学 2026-05-27 Xi Fang , Fan Li

Tempered stable distributions are frequently used in financial applications (e.g., for option pricing) in which the tails of stable distributions would be too heavy. Given the non-explicit form of the probability density function,…

统计理论 · 数学 2024-07-08 Till Massing

We review some aspects of Bayesian and frequentist interval estimation, focusing first on their relative strengths and weaknesses when used in "clean" or "textbook" contexts. We then turn attention to observational-data situations which are…

统计方法学 · 统计学 2010-10-05 Paul Gustafson , Sander Greenland

We develop a maximum likelihood estimating approach for time-to-event Weibull regression models with outcome-dependent sampling, where sampling of subjects is dependent on the residual fraction of the time left to developing the event of…

应用统计 · 统计学 2014-08-01 Brian D. M. Tom , Vernon T. Farewell , Sheila M. Bird

When data are right-censored, i.e. some outcomes are missing due to a limited period of observation, survival analysis can compute the "time to event". Multiple classes of outcomes lead to a classification variant: predicting the most…

人工智能 · 计算机科学 2024-06-21 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood…

统计方法学 · 统计学 2013-12-24 Bodhisattva Sen , Gongjun Xu

We study counterfactual regression, which aims to map input features to outcomes under hypothetical scenarios that differ from those observed in the data. This is particularly useful for decision-making when adapting to sudden shifts in…

统计方法学 · 统计学 2025-04-08 Kwangho Kim

There is a surge in medical follow-up studies that include longitudinal covariates in the modeling of survival data. So far, the focus has been largely on right-censored survival data. We consider survival data that are subject to both left…

统计理论 · 数学 2012-09-25 Yu-Ru Su , Jane-Ling Wang

Learning causal effects of a binary exposure on time-to-event endpoints can be challenging because survival times may be partially observed due to censoring and systematically biased due to truncation. In this work, we present debiased…

统计方法学 · 统计学 2024-11-15 Eric R. Morenz , Charles J. Wolock , Marco Carone

Central moments and cumulants are often employed to characterize the distribution of data. The skewness and kurtosis are particularly useful for the detection of outliers, the assessment of departures from normally distributed data,…

天体物理仪器与方法 · 物理学 2014-03-24 Lorenzo Rimoldini

Accurate predictions of when a component will fail are crucial when planning maintenance, and by modeling the distribution of these failure times, survival models have shown to be particularly useful in this context. The presented…

机器学习 · 计算机科学 2024-03-28 Olov Holmer , Mattias Krysander , Erik Frisk

We propose a unified framework for likelihood-based regression modeling when the response variable has finite support. Our work is motivated by the fact that, in practice, observed data are discrete and bounded. The proposed methods assume…

统计方法学 · 统计学 2022-09-13 Karl Oskar Ekvall , Matteo Bottai

Prediction of survival for cancer patients is an open area of research. However, many of these studies focus on datasets with a large number of patients. We present a novel method that is specifically designed to address the challenge of…

机器学习 · 计算机科学 2015-09-30 Hamid Reza Hassanzadeh , John H. Phan , May D. Wang

We consider the problem of estimating the distribution function, the density and the hazard rate of the (unobservable) event time in the current status model. A well studied and natural nonparametric estimator for the distribution function…

统计理论 · 数学 2010-01-13 Piet Groeneboom , Geurt Jongbloed , Birgit I. Witte

In statistical exercises where there are several candidate models, the traditional approach is to select one model using some data driven criterion and use that model for estimation, testing and other purposes, ignoring the variability of…

统计理论 · 数学 2008-12-18 Snigdhansu Chatterjee , Nitai D. Mukhopadhyay

There is no easy extension of Kaplan-Meier and Nelson-Aalen estimators to the bivariate case, and estimating bivariate survival distributions nonparametrically is associated with various non-trivial problems. The Dabrowska estimator will…

统计理论 · 数学 2026-04-15 J. K. Ghosh , Nils Lid Hjort , C. Messan , R. V. Ramamoorthi

We introduce a nonparametric estimator of the conditional survival function in the mixture cure model for right censored data when cure status is partially known. The estimator is developed for the setting of a single continuous covariate…

统计方法学 · 统计学 2024-02-13 Wende C. Safari , Ignacio López-de-Ullibarri , M. Amalia Jácome