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Confidence intervals for earthquake source parameters 总被引:2,自引:0,他引:2
G. A. Prieto D. J. Thomson F. L. Vernon P. M. Shearer R. L. Parker 《Geophysical Journal International》2007,168(3):1227-1234
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Prediction of Resource Volumes at Untested Locations Using Simple Local Prediction Models 总被引:1,自引:1,他引:0
This paper shows how local spatial nonparametric prediction models can be applied to estimate volumes of recoverable gas resources
at individual undrilled sites, at multiple sites on a regional scale, and to compute confidence bounds for regional volumes
based on the distribution of those estimates. An approach that combines cross-validation, the jackknife, and bootstrap procedures
is used to accomplish this task. Simulation experiments show that cross-validation can be applied beneficially to select an
appropriate prediction model. The cross-validation procedure worked well for a wide range of different states of nature and
levels of information. Jackknife procedures are used to compute individual prediction estimation errors at undrilled locations.
The jackknife replicates also are used with a bootstrap resampling procedure to compute confidence bounds for the total volume.
The method was applied to data (partitioned into a training set and target set) from the Devonian Antrim Shale continuous-type
gas play in the Michigan Basin in Otsego County, Michigan. The analysis showed that the model estimate of total recoverable
volumes at prediction sites is within 4 percent of the total observed volume. The model predictions also provide frequency
distributions of the cell volumes at the production unit scale. Such distributions are the basis for subsequent economic analyses.
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Emil D. AttanasiEmail: |
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Application of universal kriging for estimation of earthquake ground motion: Statistical significance of results 总被引:1,自引:0,他引:1
Universal kriging is compared with ordinary kriging for estimation of earthquake ground motion. Ordinary kriging is based on a stationary random function model; universal kriging is based on a nonstationary random function model representing first-order drift. Accuracy of universal kriging is compared with that for ordinary kriging; cross-validation is used as the basis for comparison. Hypothesis testing on these results shows that accuracy obtained using universal kriging is not significantly different from accuracy obtained using ordinary kriging. Tests based on normal distribution assumptions are applied to errors measured in the cross-validation procedure;t andF tests reveal no evidence to suggest universal and ordinary kriging are different for estimation of earthquake ground motion. Nonparametric hypothesis tests applied to these errors and jackknife statistics yield the same conclusion: universal and ordinary kriging are not significantly different for this application as determined by a cross-validation procedure. These results are based on application to four independent data sets (four different seismic events). 相似文献
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Estimation of semivariogram parameters and evaluation of the effects of data sparsity 总被引:1,自引:0,他引:1
Semivariogram parameters are estimated by a weighted least-squares method and a jackknife kriging method. The weighted least-squares method is investigated by differing the lag increment and maximum lag used in the fit. The jackknife kriging method minimizes the variance of the jackknifing error as a function of semivariogram parameters. The effects of data sparsity and the presence of a trend are investigated by using 400-, 200-, and 100-point synthetic data sets. When the two methods yield significantly different results, more data may be needed to determine reliably the semivariogram parameters, or a trend may be present in the data. 相似文献
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Uses and abuses of cross-validation in geostatistics 总被引:12,自引:0,他引:12
Bruce M. Davis 《Mathematical Geology》1987,19(3):241-248
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