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Latin Hypercube Sampling of Gaussian Random Fields
Edzer J. Pebesma and Gerard B. M. Heuvelink
Vol. 41, No. 4 (Nov., 1999), pp. 303-312
Published by: Taylor & Francis, Ltd. on behalf of American Statistical Association and American Society for Quality
Stable URL: http://www.jstor.org/stable/1271347
Page Count: 10
You can always find the topics here!Topics: Simulations, Modeling, Zinc, Sample size, Random sampling, Sampling bias, Spatial models, Gaussian distributions, Statistical variance, Geostatistics
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Following the method of Stein, this article shows how a Latin hypercube sample can be drawn from a Gaussian random field. In a case study the efficiency of Latin hypercube sampling is compared experimentally to that of simple random sampling. The model outputs studied are the mean and the 5- and 95-percentile of the areal fraction where point concentration of zinc in the topsoil exceeds a given threshold. The Latin hypercube sampling procedure slightly distorts the short-distance correlation, and in an artificial example, it is shown that this distortion is modest for small samples and vanishes for large samples.
Technometrics © 1999 American Statistical Association