Is Lognormal Kriging Suitable for Local Estimation?
Is Lognormal Kriging Suitable for Local Estimation?
复制标题
对数正态克里金法适合局部估计吗？
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
C. Roth
中科院分区：
文献类型：
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作者：
C. Roth
对数正态克里金法是在地质统计学的早期发展起来的，以考虑到实验采矿数据经常出现的偏态分布。直觉上，考虑到数据的分布，应该会导致比忽略它时获得的更好的局部估计。然而，在实践中，所获得的结果有时令人失望。本文试图从对数正态克里金估计量的行为来解释为什么会这样。估计尊重一定的无偏性属性时，考虑到整个工作领域使用回归曲线及其置信区间为简单或普通克里金。然而，当局部检查时，估计量呈现出既不期望也不直观的行为。这些结果导致的问题：是理论上正确的对数正态克里格估计适合于实际问题的局部估计？
Lognormal kriging was developed early in geostatistics to take account of the often seen skewed distribution of the experimental mining data. Intuitively, taking the distribution of the data into account should lead to a better local estimate than that which would have been obtained when it is ignored. In practice however, the results obtained are sometimes disappointing. This paper tries to explain why this is so from the behavior of the lognormal kriging estimator. The estimator is shown to respect certain unbiasedness properties when considering the whole working field using the regression curve and its confidence interval for both simple or ordinary kriging. When examined locally, however, the estimator presents a behavior that is neither expected nor intuitive. These results lead to the question: is the theoretically correct lognormal kriging estimator suited to the practical problem of local estimation?