加权游动平均值和平均游动方差

来源期刊：中南大学学报(自然科学版)1982年第2期

论文作者：杨善慈

文章页码：37 - 48

关键词：样本平均值； 游动； 随机性； 均方差； 加权； 地质变量； 随机误差； 探矿； 抽样数据； 抽样误差

摘    要：本文研究了游动平均值的加权原理、三维加权游动平均值的线性化以及由探矿样本中消除随机性以显现主要成分含量在矿体空间内分布的规律。此外,还提出了衡量探矿抽样的随机性变化的指标和估算随机误差的公式。这个公式经过模拟实验和实际资料验证,表明在不同勘探工程密度的情况下,都能比较正确地反映探矿抽样误差。

Abstract:

1. The Variability of Deposit-geological Variables and the Randomness of Exploration Sampling

2. The Weighting Theorem of Moving Mean Values

3. Linearization of 3-Dimensional Weighted Moving Mean and 3-Dimension- al Model of Ore-body

4. Average Moving Variance and Random Error of Exploration Sampling

5. Conclusion

This paper investigates the theorem of weighted moving mean, the theo-rem of linearization of 3-dimensional weighted moving mean and the processfor exposing the distributed regularity of primary elements in space of ore-body by eliminating randomness from exploration samples. On the basis ofthe theorem of weighted moving mean, this paper advances a variability-in-dex and a formula for estimating randomness and random errors of the resultsof exploration sampling. This formula is verified by using analogous experi-ments and practical imformation, thus proving that the formula can moreaccurately reflect the sampling errors at various denseness of exploratoryworks.