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Title: Predicting the integrals of gaussian random fields in fixed-domain asymptotics
Authors: CHEN XIN
Keywords: Gaussian random field, predictor, fixed-domain asymptotics, regional variance, spatial cumulative distribution function
Issue Date: 3-Nov-2003
Citation: CHEN XIN (2003-11-03). Predicting the integrals of gaussian random fields in fixed-domain asymptotics. ScholarBank@NUS Repository.
Abstract: Predicting the integrals of random fields is very interesting and important in geostatistics and in the design and analysis of computer experiments. Depending on the situation, there are, typically, three ways of studying this problem theoretically, namely, via increasing-domain, fixed-domain or mixed-type asymptotics. This thesis studies the asymptotic mean square error for predicting the regional variance in random fields and obtains a consistent predictor for the spatial cumulative distribution function from a centered systematic sample via fixed-domain asymptotics.
Appears in Collections:Master's Theses (Open)

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