左截断右删失数据下尺度参数与协变量相关时广义指数分布的估计及应用

Estimation and Application of Generalized Exponential Distribution of Scaling Parameter in Relation to Covariate under Left Truncated and Right Censored Data

在左截断右删失数据类型下,当时间变量T服从广义指数分布时,针对尺度参数是否受协变量影响建立两种模型,并用极大似然估计法给出参数估计,用Newton-Raphson算法求解参数估计.将两种模型分别应用到变压器寿命数据集和Channing house数据集中,得到了其生存函数和风险函数.

Under the left truncated and right censored data,when the time variable T obeyed the generalized exponential distribution,in view of whether the scaling parameters were affected by covariates,we established two kinds of models,and used the maximum likelihood estimation method to estimate parameters.The Newton-Raphson algorithm was used to solve the estimation of the parameters.The two models were applied to the transformer life data set and the Channing house data set,respectively,we obtained its survival function and hazard function.