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對數正態克立格法理論及其應用

Theory of Lognormal Kriging and Its Application in Ore Reserve Estimation

  • 摘要: 本文首先討論了對數正態分布及三參數對數正態分布理論,然后重點研究了對數正態克立格法。在分析了無偏條件及最小估計方差之后,給出了對數正態克立格法方程組及對數克立格方差。克立格權系數λa即為該方程組的解。據此,可以估計礦床中每一塊段的克立格估值Zv,該估值是具最小估計方差的無偏線性估計量。該法已用于一個鐵銅礦床的儲量計算。

     

    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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