右删失数据下加权威布尔分布的估计研究
Estimation for weighted Weibull distribution with right censored data
刘新蕊 1王雪欣 1何非2
作者信息
- 1. 长春工业大学数学与统计学院,吉林长春 130012
- 2. 长春财经学院数学教研部,吉林长春 130119
- 折叠
摘要
首先对右删失数据建立加权威布尔模型,进而将分布中的形状参数替换回归形式,建立加权威布尔回归模型.运用极大似然法对两个模型中的参数进行估计,在数值模拟中验证了所提方法的有效性.最后,将方法应用于一个肺癌数据的分析中.
Abstract
Firstly,this paper establishes a weighted Weibull model for right-censored data.The shape parameter in the distribution is replaced by a regression form,resulting in a weighted Weibull regression model.Maximum likelihood estimation is applied to estimate the parameters in both models,and the effectiveness of the proposed method is validated through numerical simulations.Finally,the method is applied to analyze a lung cancer dataset.
关键词
右删失/加权威布尔分布/加权威布尔回归模型/极大似然Key words
right-censored/weighted Weibull distribution/weighted Weibull regression model/maximum likelihood引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据