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Regression revisited (again)

机译:重新回归(再次)

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摘要

One of the seminal pioneering papers in reserve evaluation was published by Danie Krige in 1951. In that paper he introduced the concept of regression techniques in providing better estimates for stope grades and correcting for what later became known as the 'conditional bias'. In South Africa, the development of this approach led to the phenomenon being dubbed the 'regression effect', and regression techniques ultimately formed the basis of simple kriging in Krige's later papers. In the late 1950s and early 1960s, Georges Matheron (1965) formulated the general theory of 'regionalized variables' and included copious discussion on what he termed the 'volume-variance' effect Matheron defined mathematically the reason for, and quantification of, the difference in variability between estimated values and the actual unknown values. In 1983, this author published a paper that combined these two philosophies so that the 'regression effect' could be quantified before actual mining block values were available. In 1996 and in some earlier presentations, Krige revisited the regression effect in terms of the conditional bias and suggested two measures that might enable a practitioner of geostatistics to assess the 'efficiency' of the kriging estimator in any particular case. In this article, we revisit the trail from 'regression effect' to 'kriging efficiency' in conceptual terms and endeavour to explain exactly what is measured by these parameters and how to use (or abuse) them in practical cases.
机译:储量评估方面开创性的开创性论文之一是Danie Krige于1951年发表的。在那篇论文中,他介绍了回归技术的概念,可以为采场品位提供更好的估算并校正后来被称为“条件偏差”的条件。在南非,这种方法的发展导致这种现象被称为“回归效应”,而回归技术最终构成了克里格(Krige)后来论文中简单克里金法的基础。在1950年代末和1960年代初,乔治·马瑟顿(Georges Matheron(1965))提出了“区域变量”的一般理论,并就他所谓的“体积-变异”效应进行了广泛的讨论,马瑟顿在数学上定义了差异的原因和量化方法。估计值与实际未知值之间的差异。 1983年,该作者发表了一篇论文,将这两种理念结合在一起,以便可以在实际的采矿区块值可用之前对“回归效应”进行量化。在1996年及之前的一些演讲中,克里格(Krige)从条件偏差的角度重新审视了回归效应,并提出了两种措施,使地统计学家可以在任何特定情况下评估克里金估计器的“效率”。在本文中,我们从概念上回顾了从“回归效应”到“克里金效率”的轨迹,并努力确切地解释这些参数所测量的内容以及在实际情况下如何使用(或滥用)它们。

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