【摘要】 针对经典最小二乘法与加权最小二乘法进行两参数威布尔模型参数估计时,虽满足无偏性但不满足有效性问题,提出一种基于累积误差平方和最小的参数估计方法。基于粒子群算法对完全样本、定时截尾样本以及定数截尾样本进行参数计算,以均方根误差为指标进行效果评价,并结合相关文献数据进行实证研究。研究表明,所提参数估计方法较经典最小二乘法与加权最小二乘法的均方根误差值低,能够较好地给出两参数威布尔模型的参数估计。更多还原

【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.更多还原