矿岩强度参数估计的函数逼近法

为获得矿岩强度参数的合理概率分布, 提高工程中对强度参数取值的科学性和准确性, 以数值分析为手段, 直接从样本信息出发, 采用切尔雪夫正交多项式作为拟合函数, 利用样本k阶原点矩计算多项式系数, 从而推导出强度参数的概率密度函数的近似表达式。该法不需要假设参数的分布概型, 弥补了经典的假设检验法在应用上的局限性。实例分析结果表明, 该法不仅在应用范围上比假设检验法更加广泛, 而且能充分利用样本信息, 在样本量较多的情况下能显著提高参数估计的拟合精度, 对参数的总体分布具有较好的模拟效果。

Function Approximation Method for Strength Parameters Estimation of Ore Rocks

In order to get a reasonable probability distribution of strength parameters of ore rocks and improve the scientific property and accuracy of strength parameters taken in practical engineering,some study are made on a numerical approximation with large samples.By using numerical methods,directly based on sample information and with Chebyshev orthogonal polynomial as a fitting function,polynomial coefficient with k-order origin moments of samples is calculated,thus an approximate expression of probability de...