Abstract: 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.

Key words: left truncated and right censored data, scaling parameter regression, NewtonRaphson algorithm, generalized exponential distribution, maximum likelihood estimation