排序方式: 共有48条查询结果,搜索用时 17 毫秒
1.
J A Vargas-Guzmán 《中国地质大学学报(英文版)》2008,19(1):85-92
An analysis of statistical expected values for transformations is performed in this study to quantify the effect of heterogeneity on spatial geological modeling and evaluations. Algebraic transformations are frequently applied to data from logging to allow for the modeling of geological properties. Transformations may be powers, products, and exponential operations which are commonly used in well-known relations (e.g., porosity-permeability transforms). The results of this study show that correct computations must account for residual transformation terms which arise due to lack of independence among heterogeneous geological properties. In the case of an exponential porosity-permeability transform, the values may be positive. This proves that a simple exponential model back-transformed from linear regression underestimates permeability. In the case of transformations involving two or more properties, residual terms may represent the contribution of heterogeneous components which occur when properties vary together, regardless of a pair-wise linear independence. A consequence of power- and product-transform models is that regression equationswithin those transformations need corrections via residual cumulants. A generalization of this result isthat transformations of multivariate spatial attributes require multiple-point random variable relations. This analysis provides practical solutions leading to a methodology for nonlinear modeling using correct back transformations in geology. 相似文献
2.
Peter K. Kitanidis 《Mathematical Geology》1997,29(3):335-348
This article discusses the issue of whether to use a variable mean and describes a test that can be used to evaluate whether
it is justified to add terms to the drift (deterministic part) of a geostatistical model. The basic model could be the intrinsic
one, where the deterministic part is a constant, and the alternate model could be any model that includes a constant term
in the expression for the drift. Also, differences between constant- and variable-mean models are discussed. 相似文献
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4.
Ronald Christensen 《Mathematical Geology》1990,22(6):655-664
A proof is provided that the predictions obtained from kriging based on intrinsic random functions of orderk are identical to those obtained from anappropriate universal kriging model. This is a theoretical result based on known variability measures. It does not imply that people performing traditional universal kriging will get the same predictions as those using intrinsic random functions, because traditionally these methods differ in how variability is modeled. For intrinsic random functions, the same proof shows that predictions do not depend on the specific choice of the generalized covariance function. It is argued that the choice between these methods is really one of modeling and estimating the variability in the data. 相似文献
5.
Conventional design practice aims at obtaining optimal estimates of floods with specified exceedance probabilities. Such estimates are, however, known on the average to be exceeded more frequently than expected. Alternatively, methods focusing on the expected exceedance probability can be used. Two different methods are considered here; the first is based on the sample distribution of true exceedance probabilities. The second is a Bayesian analogue using the likelihood function and a noninformative prior to describe the variability of exceedance probabilities. Appropriate analytical solutions are presented in both cases using the partial duration series approach. 相似文献
6.
P. J. G. Teunissen 《Journal of Geodesy》2007,81(12):759-780
In this contribution, we extend the existing theory of minimum mean squared error prediction (best prediction). This extention
is motivated by the desire to be able to deal with models in which the parameter vectors have real-valued and/or integer-valued
entries. New classes of predictors are introduced, based on the principle of equivariance. Equivariant prediction is developed
for the real-parameter case, the integer-parameter case, and for the mixed integer/real case. The best predictors within these
classes are identified, and they are shown to have a better performance than best linear (unbiased) prediction. This holds
true for the mean squared error performance, as well as for the error variance performance. We show that, in the context of
linear model prediction, best predictors and best estimators come in pairs. We take advantage of this property by also identifying
the corresponding best estimators. All of the best equivariant estimators are shown to have a better precision than the best
linear unbiased estimator. Although no restrictions are placed on the probability distributions of the random vectors, the
Gaussian case is derived separately. The best predictors are also compared with least-squares predictors, in particular with
the integer-based least-squares predictor introduced in Teunissen (J Geodesy, in press, 2006). 相似文献
7.
改进灰色马尔科夫模型在基坑预测中的研究 总被引:1,自引:0,他引:1
基坑预测问题关系到工程施工的安全,在施工过程中对基坑进行周密的监测和变性预测分析显得尤为重要。针对传统预测模型存在固有偏差和可靠性低的缺点,采用新陈代谢的原理对无偏灰色加权马尔科夫模型进行改进。该模型先用无偏灰色模型拟合系统的总体变化趋势,然后,对拟合残差进行马尔可夫状态划分,并根据各阶权重对不同步长的转移矩阵进行加权处理,用加权后的无偏灰色马尔科夫模型进行预测。在每一步的预测中,利用新陈代谢的原理不断更新建模所使用的数据。将该模型用于基坑沉降预测,并通过实例进行验证。实验表明:基于新陈代谢的无偏灰色加权马尔科夫模型提高了基坑沉降预测的精度和可靠性,预测精度与未改进模型相比提高了8.54%。 相似文献
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Mehdi Eshagh 《Geophysical Prospecting》2014,62(1):158-171
The idea of this paper is to present estimators for combining terrestrial gravity data with Earth gravity models and produce a high‐quality source of the Earth's gravity field data through all wavelengths. To do so, integral and point‐wise estimators are mathematically developed, based on the spectral combination theory, in such a way that they combine terrestrial data with one and/or two Earth gravity models. The integral estimators are developed so that they become biased or unbiased to a priori information. For testing the quality of the estimators, their global mean square errors are generated using an Earth gravity model08 model and one of the recent products of the gravity field and steady‐state ocean circulation explorer mission. Numerical results show that the integral estimators have smaller global root mean square errors than the point‐wise ones but they are not efficient practically. The integral estimator of the biased type is the most suited due to its smallest global root mean square error comparing to the rest of the estimators. Due largely to the omission errors of Earth gravity models the point‐wise estimators are not sensitive to the Earth gravity model commission error; therefore, the use of high‐degree Earth gravity models is very influential for reduction of their root mean square errors. Also it is shown that the use of the ocean circulation explorer Earth gravity model does not significantly reduce the root mean square errors of the presented estimators in the presence of Earth gravity model08. All estimators are applied in the region of Fennoscandia and a cap size of 2° for numerical integration and a maximum degree of 2500 for generation of band‐limited kernels are found suitable for the integral estimators. 相似文献
10.
将非等间距数列转化为等间距数列,并建立无偏GM(1,1)模型.通过对非等间距数列的处理,得到适合GM(1,1)建模的等时距数列,并在GM(1,1)模型的基础上,给出非等间距无偏GM(1,1)建模的具体步骤.从理论上证明无偏GM(1,1)能消除GM(1,1)模型的固有偏差,拓宽GM(1,1)的使用范围.最后将模型应用于实际建筑沉降预测中,研究结果表明非等间距无偏(1,1)模型精度高、实用性强. 相似文献