岩矿石物性参数统计的点估计

来源期刊：中南大学学报(自然科学版)1979年第3期

论文作者：黄国祥

文章页码：63 - 72

关键词：对数正态分布； 物性参数； 岩矿石物性； 磁化率； 参数统计； 几何平均值； 物探方法； 大子样； 地质体； 统计特征值

摘    要：从物探正反问题需要角度,本文讨论了物性参数的统计问题。依据实际材料得出物性参数大多符合正态分布和对数正态分布,文中分析了磁化率多呈对数正态分布的原因,并研究了出现其他分布的理论依据。论述了估计量的选择,确认一切符合加法迭加原理的物探方法,其理论计算及解释中使用的物性参数应是均值μ。文中讨论了不同分布,不同子样火小的μ的最佳估计问题,介绍了有关计算公式及图算方法。

Abstract: In this article the statistic problem of the parameters of physical properties of rock and mineral is discussed for geophysical prospecting interpretation. Practical material shows that it mainly corresponds to normal distribution and logarithmic normal distribution. The reason is analysed why the magnetic susceptibility mainly tallies with norml distribution and the theory grounds which produce other distributions are also studied. The. choice of statistical estimates is discussed, in author’s opinion the expectation μof the parameters of physical properties of rock and mineral specimen should be used in theory calculation and interpretation of all geophysical prospecting methods applied the principle of linear superposition. The optimum estimates of μ. are discussed in different distribution and size of sample. Both the calculative formula concerned and nomography are introduced.