Hyperbolic cross designs for approximation of random fields
type: Item
instance of: scholarly article
title: Hyperbolic cross designs for approximation of random fields
zbMATH Open document ID: 0952.62087
DOI: 10.1016/S0378-3758(97)00088-8
author: Thomas Müller-Gronbach
published in: Journal of Statistical Planning and Inference
publication date: 2001-01-11T00:00:00Z
Mathematics Subject Classification ID: 62M40
Mathematics Subject Classification ID: 62K99
Mathematics Subject Classification ID: 62M99
zbMATH DE Number: 1326474
zbMATH Keywords: maximum mean-squared error
zbMATH Keywords: asymptotically optimal designs
zbMATH Keywords: Sacks/Ylvisaker regularity
zbMATH Keywords: regular sequence of designs
zbMATH Keywords: Smolyak's algorithm
zbMATH Keywords: hyperbolic cross point design
zbMATH Keywords: tensor product
zbMATH Keywords: integrated mean-squared error
MaRDI profile type: Publication
cites work: Some exact optimal designs for linear covariance functions in one dimension
cites work: Theory of Reproducing Kernels
cites work: Q4731609
cites work: Q4137594
cites work: Approximation of linear operators on a Wiener space
cites work: Optimal designs for approximating the path of a stochastic process
cites work: Optimal Designs for Approximating a Stochastic Process with Respect to a Minimax Criterion
cites work: Uniform reconstruction of Gaussian processes
cites work: On optimal allocations for estimating the surface of a random field
cites work: High dimensional integration of smooth functions over cubes
cites work: On the average complexity of multivariate problems
cites work: Q5558327
cites work: Average-case analysis of numerical problems
cites work: Asymptotic optimality of regular sequence designs
cites work: Q4389413
cites work: Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions
cites work: Design and analysis of computer experiments. With comments and a rejoinder by the authors
cites work: Designs for Regression Problems with Correlated Errors
cites work: Q5600030
cites work: Uniform asymptotic optimality of linear predictions of a random field using an incorrect second-order structure
cites work: Sampling designs for estimation of a random process
cites work: Q3993279
cites work: Q3996207
cites work: On average complexity of global optimization problems
cites work: Explicit cost bounds of algorithms for multivariate tensor product problems
cites work: Average case complexity of linear multivariate problems. II: Applications
cites work: Computationally exploitable structure of covariance matrices and generalized convariance matrices in spatial models
description: scientific article; zbMATH DE number 1326474