Predicting integrals of random fields using observations on a lattice

DOI10.1214/aos/1034713643zbMath0856.62083OpenAlexW2019625471MaRDI QIDQ1922375

Michael L. Stein

Publication date: 12 February 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1034713643

zbMATH Keywords

numerical integrationspatial statisticsunit cubespectral densityoptimal predictionmean-squared errorstationary random fieldinfinite latticeasymptotic behavior of predictors

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Random fields; image analysis (62M40)

Related Items (5)

Optimal sampling designs for nonparametric estimation of spatial averages of random fields ⋮ Locally lattice sampling designs for isotropic random fields ⋮ Development of the kriging method with application. ⋮ Optimal pointwise approximation of stochastic differential equations driven by fractional Brownian motion ⋮ Probabilistic integration: a role in statistical computation?

Uses Software

• spatial

Cites Work

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• Spatial variation. 2nd ed
• Random designs for estimating integrals of stochastic processes
• Asymptotic properties of centered systematic sampling for predicting integrals of spatial processes

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