基于正交多项式逼近法的岩土参数概率分布推断

The Inference of Probabilistic Distribution of Geotechnical Parameter by Using Orthogonal Polynomial

针对岩上参数样本容量较大的情况,基于数值分析中的逼近原理,直接根据试验样本值,运用勒让德正交多项式来拟合岩土参数的概率密度函数,并用K-S检验法从理论上证明所求的密度函数的正确性和实用性。

A new method to infer the probabilistic density functions of geotechnical parameter is presented. Based on numerical approximation theory, the Legendre polynomial is introduced to match the probabilistic density function of geotechnical random parameters. Kolmogorov-Smirnoy test is used to verify this method.