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R-Q型因子分析与对应分析   总被引:1,自引:0,他引:1  
R-Q型因子分析是一种多元统计方法,但也是一种被忽视的方法.这里以简单方式证明了R-Q型因子分析对偶性,并给出一种方便的R-Q型因子得分计算公式.利用地球化学数据解释的实例,对比了该方法与对应分析的应用效果.结果表明,二种方法都能有效地识别数据中的样品与变量类型及其对应关系,并且二种方法都具有独特的优点.这些方法为快速、有效地解释勘查地球化学数据起到重要作用.  相似文献   

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This paper is largely an exposition of the work of the French geostatistian G. Matheron and his school in English and at a simpler mathematical level. The probability theory on which it is based is essentially all contained in the references cited, most of which will be unfamiliar to mathematical geologists. The important method of ‘universal kriging” is explained intuitively. The genuine statistical problems, which have yet to be overcome, are pointed out.  相似文献   

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This paper is largely an exposition of the work of the French geostatistian G. Matheron and his school in English and at a simpler mathematical level. The probability theory on which it is based is essentially all contained in the references cited, most of which will be unfamiliar to mathematical geologists. The important method of universal kriging is explained intuitively. The genuine statistical problems, which have yet to be overcome, are pointed out.Research supported by the Office of Naval Research under contract NONR 4010(09) awarded to the Department of Statistics, The Johns Hopkins University. This paper in whole or in part may be reproduced for any purpose of the United States Government.  相似文献   

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测斜仪在边坡深部位移监测中应用比较广泛,但其监测结果存在一定误差。已有测斜仪监测误差研究多是针对系统误差进行,缺少针对测斜仪监测数据计算原理引起的误差进行的研究。基于测斜仪监测数据计算方法原理与数值分析中常微分方程Euler解法的一致性,讨论了造成测斜仪监测误差的原因。分析结果表明:测斜仪监测误差与测斜仪监测初始值、测量分段长度和位移变形曲线形状有关;测斜仪监测初始值变化将给监测带来误差;测斜仪测量段长与监测误差呈线性关系,误差随测量段长减小而变小;当位移变形曲线为直线时,误差为0;当位移变形曲线为单-凸曲线或凹曲线时,监测误差随曲线变形程度和孔口变形位移增大而变大;测斜仪位移变形监测误差为累积误差,孔口误差大于孔底误差。在使用测斜仪监测时,为了减少监测误差,建议将每次监测初始值设为固定值,并尽可能减少测量段长。  相似文献   

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因子分析与地统计学在化探数据分析中的应用   总被引:1,自引:0,他引:1  
以铜陵矿集区土壤勘查地球化学数据为实例,应用因子分析方法获取了地球化学数据中的多个主因子信息,并利用地统计学方法开展了各主因子的空间变异分析和插值研究。研究结果显示,因子分析得到的各主因子对应于不同的成矿信息,将因子分析与地统计学分析和插值方法相结合,可以更好的展现各主因子得分的空间分布趋势以及与已知成矿信息的关联程度,进而服务于成矿预测和找矿勘探工作。  相似文献   

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This study presents the probabilistic analysis of the inverse analysis of an excavation problem. Two techniques are used during two successive stages. First, a genetic algorithm inverse analysis is conducted to identify soil parameters from in situ measurements (i.e. first stage of the construction project). For a given tolerable error between the measurement and the response of the numerical model the genetic algorithm is able to generate a statistical set of soil parameters, which may then serve as input data to a stochastic finite element method. The second analysis allows predicting a confidence interval for the final behaviour of the geotechnical structure (i.e. second stage of the project). The tools employed in this study have already been presented in previous papers, but the originality herein consists of coupling them. To illustrate this method, a synthetic excavation problem with a very simple geometry is used.  相似文献   

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An oblique factor analysis solution for the analysis of mixtures   总被引:2,自引:0,他引:2  
The problems involved in the factor analysis of data consisting of measurements of material quantity or proportion are discussed, and the inability of existing factor analysis solutions to properly model such data is pointed out. A new factor analysis solution using the linear programming technique is presented which properly analyzes mixture data. A numerical example is presented in which a body of suspended sediment grain-size distribution data is analyzed using the new factor analysis solution. FORTRAN-IV subroutines for computing this solution are included in an Appendix.  相似文献   

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高彦斌  崔玉军 《岩土力学》2009,30(2):433-439
随气候条件而变化的边界条件的确定是岩土工程中非饱和土数值分析的一个难题。介绍了农业学中的土与大气相互作用分析中的一些应用较为广泛的方法,并采用空气动力学法和微气候能量平衡法相结合的方法确定土-气界面的边界状态,分析了法国鲁昂试验路堤的路堤填土与大气在2005年1月的能量交换,以及在此期间填土内的温度、含水率和吸力的变化,并与实测结果进行了对比。结果表明,农业学中所采用的能量平衡以及能量计算方法可以有效地应用于岩土工程非饱和土的数值分析中,解决随气候而变化的边界条件的确定问题。  相似文献   

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Compositional data analysis   总被引:1,自引:0,他引:1  
Compositional data occur naturally in the geosciences — tables of chemical analyses, rock-compositions, sedimentary proportions, pollen-analytical tables, etc. The statistical analysis of such data requires special techniques and it is not possible to use standard methods of computing correlation coefficients and carry out multivariate statistical analyses without the risk of incurring grave mistakes. The special property of compositional data, to wit, the fact that the determinations on each specimen sum to a constant, means that the variables involved in the study occur in constrained space defined by the simplex , a restricted part of real space.  相似文献   

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余先川  王桂安  杨萌  刘敏 《矿床地质》2006,25(Z3):499-502
非线性空间信息统计学主要包括对数正态克立格、指示克立格、析取克立格、条件期望等理论方法。通过源代码和运行结果对各种克立格方法在数据特点、时间复杂度等方面进行了比较。DK估计较普通克立格更有效。首先,DK考虑到了Z(x)的二维概率分布,充分应用有效信息,克服了线性克立格的前提条件太少,导致数值离散性大时,估计不够准确的缺点;其次,DK利用区域化变量的非线性组合估计,所以可以方便地得到变量的任意函数的估计结果,在局部可回采储量等方面比线性方法更容易、结果更准确。  相似文献   

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Baidya  S.  Singh  Ajay  Panda  Sudhindra N. 《Natural Hazards》2020,100(3):1137-1158
Natural Hazards - The recurring flooding causes loss of life and damage to buildings and other structures, including bridges, sewerage systems, roadways and canals. It also frequently damages power...  相似文献   

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常兴国  申维 《地质通报》2009,28(6):810-815
利用小波变换对澳大利亚新南威尔士Mandamah地区所测得EM38数据进行全局阈值消噪处理,通过分解与重构,从中提取有效信息,去除干扰,得到去噪后的数据。将去噪后的数据与地球化学铜元素的异常特征和已知的铜矿化区域进行分析与对比,推测出该地区的铜矿化预测区。该方法能有效地去除噪声,又不会损失有用信息。实际资料处理结果表明:小波分析方法在EM38数据处理中可以起到独特的作用与效果。  相似文献   

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Discontinuous deformation analysis (DDA), a discrete numerical analysis method, is used to simulate the behaviour of falling rock by applying a linear displacement function in the computations. However, when a block rotates, this linear function causes a change in block size called the free expansion phenomenon. In addition, this free expansion results in contact identification problems when the rotating blocks are close to each other. To solve this problem of misjudgment and to obtain a more precise simulation of the falling rock, a new method called Post‐Contact Adjustment Method has been developed and applied to the program. The basic procedure of this new method can be divided into three stages: using the linear displacement function to generate the global matrix, introducing the non‐linear displacement function to the contact identification, and applying it to update the co‐ordinates of block vertices. This new method can be easily applied to the original DDA program, demonstrating better contact identification and size conservation results for falling rock problems than the original program. Copyright © 2005 John Wiley & Sons, Ltd.  相似文献   

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During the last ten years the Calculus of variations technique has been applied to solve the problem of stability of slopes. All published methods are essentially based on the attainment of a functional and the search for its absolute minimum or maximum by vanishing its first variation. Obviously this statement of the problem is valid only if such a minimum or maximum exists and can be obtained by making the first variation of the functional equal to zero. So, these implicit hypotheses must be checked. This work analyses from this point of view the validity of the methods proposed by ‘Baker and Garber’, ‘Chen’ and ‘Castillo and Revilla’, and demonstrates that the first two methods are incorrectly stated while the third one is correct at least in the case of a frictionless soil.  相似文献   

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