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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

I develop Macroeconomic Random Forest (MRF), an algorithm adapting the canonical Machine Learning (ML) tool to flexibly model evolving parameters in a linear macro equation. Its main output, Generalized Time-Varying Parameters (GTVPs), is a…

计量经济学 · 经济学 2021-03-08 Philippe Goulet Coulombe

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

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

统计方法学 · 统计学 2017-03-24 Robson J. M. Machado , Ardo van den Hout

Background: Randomized controlled trials (RCTs) are costly, time-consuming, and often infeasible, while treatment-effect estimation from observational data is limited by unobserved confounding. Methods: We developed a three-step framework…

Tree methods (recursive partitioning) are a popular class of nonparametric methods for analyzing data. One extension of the basic tree methodology is the survival tree, which applies recursive partitioning to censored survival data. There…

统计方法学 · 统计学 2017-03-01 Wei Fu , Jeffrey S. Simonoff

For estimating conditional survival functions, non-parametric estimators can be preferred to parametric and semi-parametric estimators due to relaxed assumptions that enable robust estimation. Yet, even when misspecified, parametric and…

统计方法学 · 统计学 2014-12-23 Andrew Wey , John Connett , Kyle Rudser

Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is sufficient or redundant, and points out the possible local…

数值分析 · 数学 2019-05-15 Xin Xu , Xiaopeng Luo

The oblique random survival forest (RSF) is an ensemble supervised learning method for right-censored outcomes. Trees in the oblique RSF are grown using linear combinations of predictors to create branches, whereas in the standard RSF, a…

Binomial trees are widely used in the financial sector for valuing securities with early exercise characteristics, such as American stock options. However, while effective in many scenarios, pricing options with CRR binomial trees are…

计算金融 · 定量金融 2024-05-28 Yury Lebedev , Arunava Banerjee

Multi-state survival analysis (MSA) uses multi-state models for the analysis of time-to-event data. In medical applications, MSA can provide insights about the complex disease progression in patients. A key challenge in MSA is the accurate…

机器学习 · 计算机科学 2022-07-13 Md Mahmudur Rahman , Sanjay Purushotham

The mean past lifetime (MPL) is an important tool in reliability and survival analysis for measuring the average time elapsed since the occurrence of an event, under the condition that the event has occurred before a specific time $t>0$.…

统计方法学 · 统计学 2021-05-21 Elham Zamanzade , Majid Asadi , Afshin Parvardeh , Ehsan Zamanzade

The abundance of modern health data provides many opportunities for the use of machine learning techniques to build better statistical models to improve clinical decision making. Predicting time-to-event distributions, also known as…

机器学习 · 统计学 2020-12-15 Zidi Xiu , Chenyang Tao , Benjamin A. Goldstein , Ricardo Henao

Random Forests (RF) is a popular machine learning method for classification and regression problems. It involves a bagging application to decision tree models. One of the primary advantages of the Random Forests model is the reduction in…

机器学习 · 统计学 2022-07-06 Sai K Popuri

In cancer epidemiology using population-based data, regression models for the excess mortality hazard is a useful method to estimate cancer survival and to describe the association between prognosis factors and excess mortality. This method…

统计方法学 · 统计学 2019-04-19 Francisco J. Rubio , Bernard Rachet , Roch Giorgi , Camille Maringe , Aurelien Belot

Semiparametric accelerated failure time (AFT) models directly relate the predicted failure times to covariates and are a useful alternative to models that work on the hazard function or the survival function. For case-cohort data, much less…

统计计算 · 统计学 2022-12-15 Steven Chiou , Sangwook Kang , Jun Yan

Estimating individualized treatment rules is a central task for personalized medicine. [zhao2012estimating] and [zhang2012robust] proposed outcome weighted learning to estimate individualized treatment rules directly through maximizing the…

统计方法学 · 统计学 2017-10-02 Yifan Cui , Ruoqing Zhu , Michael Kosorok

We develop a Starshaped Mean Residual Life (SMEL) framework for survival data with non-monotonic hazard patterns, where early-stage attrition is followed by mid-career stabilization. Unlike Cox proportional hazards models or standard mean…

统计方法学 · 统计学 2026-05-19 Mohammad Sepehrifar

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

应用统计 · 统计学 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

When to initiate treatment on patients is an important problem in many medical studies such as AIDS and cancer. In this article, we formulate the treatment initiation time problem for time-to-event data and propose an optimal individualized…

统计方法学 · 统计学 2021-09-30 Xin Chen , Rui Song , Jiajia Zhang , Swann Arp Adams , Liuquan Sun , Wenbin Lu