Abstract: When using classical least squares and weighted least squares to estimate the two-parameter Weibull model parameters，it satisfies the unbiasedness well but it doesn't satisfy the validity． Aiming at this problem，a parameter estimation method based on the minimum sum of squared cumulative errors was proposed． The parameters were calculated for full samples，time-censored samples，and fixed-number censored samples． The root mean square error was used as an indicator to evaluate the effect，and an empirical study was carried out in conjunction with relevant literature data． The research shows that the ＲMSE value of the proposed parameter estimation method is small than that of the least squares and weighted least squares，so it can efficiently estimate the parameters of the two-parameter Weibull model．

Key words: Weibull model, parameter estimation, cumulative sum of squared errors, root mean square error, particle swarm optimization