Abstract: In order to study interval-censored observation data, a class of generalized-power-Weibull non-linear regression models combing the generalized-power-Weibull distribution and the non-linear regression model was proposed, and the maximum likelihood estimates of the model parameters were obtained based on iteration. Finally, some Monte Carlo simulation results were given to
illustrate the effectiveness of the proposed method in terms of different hazard functions, sample sizes and censoring proportions.

Key words: generalized-power-Weibull distribution, non-linear regression, maximum likelihood estimate, Monte Carlo simulation, interval-censored data, generalized-power-Weibull distribution, non-linear regression, maximum likelihood estimate, Monte Carlo simulation