Analysis and Estimation of Natural Processes with Nonhomogeneous Spatial Variation Using Secondary InformationJournal of the International Association for Mathematical Geology - Tập 30 - Trang 57-76 - 1998
Giorgio Cassiani, George Christakos
Natural processes encountered in mining, hydrogeologic, environmental, etc. applications usually are poorly known because of scarcity of data over the area of interest. Therefore, stochastic estimation techniques are the tool of choice for a careful accounting of the heterogeneity and uncertainty involved. Within such a framework, a better utilization of all available data concern...... hiện toàn bộ
Target search by golden weaveJournal of the International Association for Mathematical Geology - Tập 13 - Trang 391-398 - 1981
W. E. Sharp
The optimal sequential procedure for performing a track search of a region is by the method of successive halving. This method minimizes the minimum deviation from the ideality of sequential division of a region into equally sized areas. For most track searches no cost is incurred in going from an exit point on the perimeter of a region to the next entry point. In the special circumstance where th...... hiện toàn bộ
Spatial relationships of multivariate dataJournal of the International Association for Mathematical Geology - Tập 24 - Trang 731-758 - 1992
E. C. Grunsky, F. P. Agterberg
Spatial factor analysis (SFA) is a multivariate method that determines linear combinations of variables with maximum autocorrelation at a given lag. This is achieved by deriving estimates of auto-/cross-correlations of the variables and calculating the corresponding eigenvectors of the covariance quotient matrix. A two-point spatial factor analysis model derives factors by the formation of transit...... hiện toàn bộ
Kiểm định chéo của kriging trong một láng giềng đơn nhất Dịch bởi AI Journal of the International Association for Mathematical Geology - Tập 15 - Trang 687-699 - 1983
Olivier Dubrule
Kiểm định chéo là một công cụ phù hợp để kiểm tra các phương pháp nội suy: nó bao gồm việc bỏ qua một điểm dữ liệu tại một thời điểm và xác định mức độ chính xác mà điểm này có thể được ước lượng từ các dữ liệu còn lại. Kiểm định chéo thường được sử dụng để kiểm tra các mô hình kriging "láng giềng di động"; trong trường hợp này, mỗi giá trị chưa biết được dự đoán từ một số lượng nhỏ dữ liệu xung ...... hiện toàn bộ
The effects of closure on the moments of a distributionJournal of the International Association for Mathematical Geology - Tập 11 - Trang 75-84 - 1979
John C. Butler
When percentages are formed from uncorrelated, normally distributed parent variables the moments of the percentage distribution may differ considerably from those of the parents. Equations can be derived which enable the approximation of the moments of a percentage variable in terms of the moments of the parent distribution, the row sum statistics, and the correlation between a part of a sum and ...... hiện toàn bộ
A method for the mathematical analysis of the cross-sectional geometry of tidal inlet channelsJournal of the International Association for Mathematical Geology - Tập 8 - Trang 635-647 - 1976
C. Linwood Vincent
Analysis of channel cross sections is hindered by lack of parameters to describe the shape of the cross section. In the situation of a sample of cross sections taken across tidal inlets, if the cross section is expressed as an observation vector, principal-component analysis can be used to derive eigenvectors for the data set. By neglecting eigenvectors that explain little variance, mathematical r...... hiện toàn bộ
Statistical techniques and their application in palynologyJournal of the International Association for Mathematical Geology - Tập 5 - Trang 297-311 - 1973
Prentiss E. Schilling, George F. Hart
The basic principals of hypothesis testing are reviewed, including the development of the hypothesis, the statistical assumptions made, and the test of the hypothesis. The appropriate experimental design and sampling technique for evaluation of hypotheses posed are discussed. Because the analysis of variance involving the F-test should be used in a wide variety of geological experiments, emphasis...... hiện toàn bộ
Stratigraphic correlation of subsurface geologic data by computerJournal of the International Association for Mathematical Geology - Tập 4 - Trang 331-343 - 1972
D. R. Matuszak
Manual, semiautomatic, and fully automatic procedures for correlating subsurface data are reviewed. Special emphasis is placed on the use of electric-log data, including that of the dipmeter log, in this discussion. The Holgate method is described for its use in “fine-tuning” or refining gross correlations. A procedure for creating a matrix map for empirically establishing correlation between set...... hiện toàn bộ