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文中指出了工程设计中线性最小二乘法在求解Gumbel分布参数时存在的问题,以高斯-牛顿法为基础,真正实现了理论频率与实际频率残差平方和最小这一适线准则下Gumbel分布的最佳拟合。算例表明,新的算法收敛速度快,所得曲线与实测点据拟合较好。
In this paper, the problem of linear least square method in engineering design for solving Gumbel distribution parameters is pointed out. Based on the Gauss-Newton method, Gumbel distribution is truly realized under the fitting criterion of minimum square sum of theoretical frequency and actual frequency Best fit The example shows that the new algorithm converges fast, and the obtained curve fits well with the measured data.