Mathematical Sciences: Random Effects Models in Survival Analysis

数学科学：生存分析中的随机效应模型

• 批准号: 9307255
• 负责人: Susan Murphy
• 金额: $ 6万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9307255&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Random; Effects; Models

This research is concerned with the generalization of the two well known regression models for duration times, the proportional hazards model ant the accelerated failure time model, to a mixed model with both fixed effects and a random effect. In particular, the objective of this research is to consider score and likelihood ratio tests for the presence of the random effect in the proportional hazards model and to consider both a method of estimation for the regression coefficient and nonparametric likelihood estimation of the error distribution in the mixed effects, accelerated failure time model. Many areas of scientific endeavor, such as demography, duration analysis in economics, reliability in manufacturing, and survival analysis in medical studies, are confronted with dependent duration times. This research is concerned with a generalization of two often used models to a model which is more realistic.

本文将两种著名的持续时间回归模型——比例风险模型和加速失效时间模型推广到一个既有固定效应又有随机效应的混合模型。特别是，本研究的目的是考虑比例风险模型中随机效应存在的得分和似然比检验，并考虑混合效应加速失效时间模型中回归系数的估计方法和误差分布的非参数似然估计。许多科学领域，如人口统计学、经济学中的持续时间分析、制造业中的可靠性和医学研究中的生存分析，都面临着依赖持续时间的问题。本研究是将两种常用的模型一般化为一种更现实的模型。