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We study in this paper the consequences of using the Mean Absolute Percentage Error (MAPE) as a measure of quality for regression models. We prove the existence of an optimal MAPE model and we show the universal consistency of Empirical…

机器学习 · 统计学 2017-07-11 Arnaud De Myttenaere , Boris Golden , Bénédicte Le Grand , Fabrice Rossi

In studies involving lifetimes, observed survival times are frequently censored and possibly subject to biased sampling. In this paper, we model survival times under biased sampling (a.k.a., biased survival data) by a semi-parametric model,…

统计理论 · 数学 2007-06-13 Jiayang Sun , Bin Wang

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…

应用统计 · 统计学 2017-03-06 Damjan Krstajic

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

统计方法学 · 统计学 2025-09-04 J. T. Korley

The modeling of time-to-event data, also known as survival analysis, requires specialized methods that can deal with censoring and truncation, time-varying features and effects, and that extend to settings with multiple competing events.…

机器学习 · 统计学 2021-04-20 Andreas Bender , David Rügamer , Fabian Scheipl , Bernd Bischl

Survival analysis is a task to model the time until an event of interest occurs, widely used in clinical and biomedical research. A key challenge is to model patient heterogeneity while also adapting risk predictions to both individual…

机器学习 · 计算机科学 2025-10-31 Hyeonjun Lee , Hyungseob Shin , Gunhee Nam , Hyeonsoo Lee

Density estimation is a classical problem in statistics and has received considerable attention when both the data has been fully observed and in the case of partially observed (censored) samples. In survival analysis or clinical trials, a…

应用统计 · 统计学 2018-04-18 German A. Schnaidt Grez , Brani Vidakovic

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

Many clinical studies evaluate the benefit of a treatment based on both survival and other continuous/ordinal clinical outcomes, such as Quality of Life scores. In these studies, when subjects die before the follow-up assessment, the…

应用统计 · 统计学 2023-09-06 Qingyan Xiang , Ronald J. Bosch , Judith J. Lok

The current state of evaluation in survival analysis is plagued by the persistent use of evaluation metrics in ways that are misaligned with the stated modeling objective. In addition, many such evaluations are based on censoring…

The SAVVY project aims to improve the analyses of adverse event (AE) data in clinical trials through the use of survival techniques appropriately dealing with varying follow-up times and competing events (CEs). Although statistical…

This paper introduces an Ordinary Differential Equation (ODE) notion for survival analysis. The ODE notion not only provides a unified modeling framework, but more importantly, also enables the development of a widely applicable, scalable,…

统计方法学 · 统计学 2021-12-07 Weijing Tang , Kevin He , Gongjun Xu , Ji Zhu

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

机器学习 · 统计学 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

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…

应用统计 · 统计学 2017-07-04 Haiming Zhou , Timothy Hanson

In this paper, we consider a novel framework of positive-unlabeled data in which as positive data survival times are observed for subjects who have events during the observation time as positive data and as unlabeled data censoring times…

统计方法学 · 统计学 2020-11-30 Tomoki Toyabe , Yasuhiro Hasegawa , Takahiro Hoshino

This paper develops a new approach to post-selection inference for screening high-dimensional predictors of survival outcomes. Post-selection inference for right-censored outcome data has been investigated in the literature, but much…

统计方法学 · 统计学 2021-12-22 Tzu-Jung Huang , Alex Luedtke , Ian W. McKeague

Meta-analysis is a powerful tool for assessing drug safety by combining treatment-related toxicological findings across multiple studies, as clinical trials are typically underpowered for detecting adverse drug effects. However, incomplete…

统计方法学 · 统计学 2024-02-12 Xinyue Qi , Shouhao Zhou , Christine B. Peterson , Yucai Wang , Xinying Fang , Michael L. Wang , Chan Shen

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…

统计方法学 · 统计学 2026-03-25 Nils Lid Hjort

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…

统计方法学 · 统计学 2025-05-06 Wenwen Si , Hongxiang Qiu

Comparing survival experiences of different groups of data is an important issue in several applied problems. A typical example is where one wishes to investigate treatment effects. Here we propose a new Bayesian approach based on…

统计方法学 · 统计学 2024-07-17 Alan Riva-Palacio , Fabrizio Leisen , Antonio Lijoi