对数正态克立格法理论及其应用

Theory of Lognormal Kriging and Its Application in Ore Reserve Estimation

  • 摘要: 本文首先讨论了对数正态分布及三参数对数正态分布理论,然后重点研究了对数正态克立格法。在分析了无偏条件及最小估计方差之后,给出了对数正态克立格法方程组及对数克立格方差。克立格权系数λa即为该方程组的解。据此,可以估计矿床中每一块段的克立格估值Zv,该估值是具最小估计方差的无偏线性估计量。该法已用于一个铁铜矿床的储量计算。

     

    Abstract: A theoretical study of the lognormal distribution and the three-parameters lognormal distribution are presented. The emphasis is on the study of lognormal kriging. The lognormal kriging systems and logarithmic kriging variance are established after non-bias condition and minimum estimation variance are studied. The kriging weights λα are solutions to the kriging systems. The kriging estimator Zv of each block of a deposit can be estimated. Kriging estimator is the unbiased linear estimator with minimum estimation variance. The method is illustrated application to ore reserve estimation of a iron-copper deposit.

     

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