共查询到18条相似文献，搜索用时 140 毫秒
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球状模型的最优参数估计 总被引：9，自引：0，他引：9
在地质统计学中,变差函数理论模型的拟合一直没有满意的算法。本文结合加权回归多项式法和线性规划法的优点,提出用目标规划法进行球状模型的参数估计,为地质统计学计算全过程自动化提供了重要的方法。 相似文献
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用加权多项式回归进行球状模型变差图的最优拟合 总被引：2，自引：0，他引：2
Wang Renduo 《地球科学》1986,(2)
本文提出了一种用加权多项式回归对球状模型和二级套合球状模型的变差函数进行最优拟合的方法。在已经较好地算出各实验变差函数值并选定球状模型或二级套合球状模型为理论模型的条件下,应用这种方法可以编出程序,并在计算机上快速、自动地算出最优拟合的变差图。其结果唯一确定,不因人而异,可避免人为的误差,又可为地质统计学计算的全盘自动化创造良好条件。经过几个实例验算表明,该方法简单,效果良好。 相似文献
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地质统计学变差函数人机对话拟合 总被引：2，自引：0，他引：2
肖克焱 《长春地质学院学报》1994,24(2):218-221,233
变差函数的研究在地质统计学中具有十分重要作用，本文运用界面图形图像处理强的Ｃ＾＋＋语言实现了界面友好汉化人机对话变差函数的拟合，主要包括管理菜单的生成，实验变差值的求解，变差图的图形显示，标准函数模型的计算及变差函数人机对话求解等部分，最后对比一下回归分析与人机对话拟合结果。 相似文献
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肖克焱 《吉林大学学报(地球科学版)》1994,(2)
变差函数的研究在地质统计学中具有十分重要作用，本文运用界面图形图像处理强的Ｃ￣（＋＋）语言实现了界面友好汉化人机对话变差函数的拟合，主要包括管理菜单的生成，实验变差值的求解，变差图的图形显示，标准函数模型的计算及变差函数人机对话求解等部分。最后对比一下回归分析与人机对话拟合结果。 相似文献
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随机模拟是地质统计方法的重要内容。在矿石品位估计方法中克里格方法作为一种无偏估计方法,常被用于矿石品位的估计。但克里格法估值存在平滑效应。作者在分析序贯高斯模拟和普通克里格法基本原理的基础上,运用序贯高斯模拟方法和普通克里格方法对某铁矿体内全铁(TFe)品位进行估计,给出了品位估计结果模型。研究从勘探线方向、垂直勘探线方向和竖直方向分别计算变差函数,对球状模型、指数模型、高斯模型的变差函数拟合效果进行了优选,结果表明球型模型拟合效果最好。针对序贯模拟和克里格品位估值效果进行了分析,结果显示:序贯高斯模拟结果在品位分布形态上更接近样品品位分布形态,其平滑效应更小;克里格方法估计与序贯高斯模拟方法相比仅在品位均值方面更接近样本品位均值。因此,认为序贯高斯模拟方法可以更好地刻画矿体内品位分布状态。 相似文献
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几种特异值处理方法的比较 总被引：9，自引：0，他引：9
丁旭东 《物探化探计算技术》1996,18(1):71-77
特异值（又称特高品位）存在于抽样调查之中。在地质统计学中，如果观测值存在有特异值，就严重的影响变差函数的计算结果，从而大大影响了地质统计学研究结果的精度。本文通过对目前国内外处理特异值方法（１．估计邻域法ＥＮＭ２．影响系数法ＩＣＭ３．相对变差函数法ＧＲＶ．ＰＲＶ）的比较，确定处理方法的优劣，对提高地质统计学研究结果的精度，有积极的作用 相似文献
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普朗铜矿床铜品位分布地质统计学研究 总被引：5，自引：0，他引：5
运用地质统计学的方法对普朗矿区铜品位分布情况进行了研究,建立了铜品位变异规律的数学模型,分别得到了矿体厚度、倾向和走向3个方向的变异函数,该函数呈几何异向性,比值为1:1.612:3.869,反映出矿体铜品位在3个方向上的相关性较好,说明铜品位分布总体变化系数不大,有利于矿山的开采.统计得出铜品位属于正态分布,表明下一步用普通克立格法进行估值效果最好,为矿山规划设计和生产提供了理论依据. 相似文献
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Marc G. Genton 《Mathematical Geology》2000,32(1):127-137
The classical variogram estimator proposed by Matheron can be written as a quadratic form of the observations. When data have an elliptically contoured distribution with constant mean, the correlation between the classical variogram estimator at two different lags is a function of the spatial design matrix, the covariance matrix, and the kurtosis. Several specific cases are studied closely. A subclass of elliptically contoured distributions with a particular family of covariance matrices is shown to possess exactly the same correlation structure for the classical variogram estimator as the multivariate independent Gaussian distribution. The consequences on variogram fitting by generalized least squares are discussed. 相似文献
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Common variogram models, such as spherical or exponential functions, increase monotonically with increasing lag distance. On the other hand, a hole-effect variogram typically exhibits sinusoidal waves that form peaks and troughs, thereby conveying the cyclicity of the underlying phenomenon. In order to incorporate this cyclicity into a stochastic simulation, hole effects in the experimental variogram must be fitted appropriately. In this paper, we recommend use of several multiplicative-composite variogram models to fit hole-effect experimental variograms. These consist of a cosine function to provide wavelength and phase of cyclicity, multiplied by a monotonic model (e.g., spherical) to attenuate amplitudes of the cyclical peaks and troughs. These composite models can successfully fit experimental lithology-indicator variograms that contain a range of cyclicities, although experimental variograms with poor cyclicity require special considerations. 相似文献
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The reliability of using fractal dimension (D) as a quantitative parameter to describe geological variables is dependent mainly
on the accuracy of estimated D values from observed data. Two widely used methods for the estimation of fractal dimensions
are based on fitting a fractal model to experimental variograms or power-spectra on a log-log plot. The purpose of this paper
is to study the uncertainty in the fractal dimension estimated by these two methods. The results indicate that both spectrum
and variogram methods result in biased estimates of the D value. Fractal dimension calculated by these two methods for the
same data will be different unless the bias is properly corrected. The spectral method results in overestimated D values.
The variogram method has a critical fractal dimension, below which overestimation occurs and above which underestimation occurs.
On the bases of 36,000 simulated realizations we propose empirical formulae to correct for biases in the spectral and variogram
estimated fractal dimension. Pitfalls in estimating fractal dimension from data contaminated by white noise or data having
several fractal components have been identified and illustrated by simulated examples. 相似文献
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叠加地球化学场表现为各地球化学元素的变差函数具有双重套合结构。拟合实验交差函数是分解叠加地球化学场的关键。本文依据地球化学场自相关与自相似的内在联系,提出用多标度分形谐方法拟合具有二级套合结构的实验交差函数。 相似文献
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Before optimal linear prediction can be performed on spatial data sets, the variogram is usually estimated at various lags and a parametric model is fitted to those estimates. Apart from possible a priori knowledge about the process and the user's subjectivity, there is no standard methodology for choosing among valid variogram models like the spherical or the exponential ones. This paper discusses the nonparametric estimation of the variogram and its derivative, based on the spectral representation of positive definite functions. The use of the estimated derivative to help choose among valid parametric variogram models is presented. Once a model is selected, its parameters can be estimated—for example, by generalized least squares. A small simulation study is performed that demonstrates the usefulness of estimating the derivative to help model selection and illustrates the issue of aliasing. MATLAB software for nonparametric variogram derivative estimation is available at http://www-math.mit.edu/~gorsich/derivative.html. An application to the Walker Lake data set is also presented. 相似文献