Spline approximation of random processes and design problems
type: Item
instance of: scholarly article
title: Spline approximation of random processes and design problems
zbMATH Open document ID: 0971.62054
DOI: 10.1016/S0378-3758(99)00108-1
author: Oleg Seleznjev
published in: Journal of Statistical Planning and Inference
publication date: 2001-10-04T00:00:00Z
Mathematics Subject Classification ID: 62M99
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 62M20
zbMATH DE Number: 1423769
zbMATH Keywords: spline function
zbMATH Keywords: Sacks-Ylvisaker conditions
zbMATH Keywords: asymptotically optimal design
zbMATH Keywords: regular sequence
zbMATH Keywords: fractional Brownian motion
MaRDI profile type: Publication
cites work: Q3339034
cites work: Sojourns and extremes of Gaussian processes
cites work: Q5669725
cites work: Piecewise polynomial approximation on optimal meshes
cites work: Q4015644
cites work: Q4095322
cites work: Sample functions of the Gaussian process
cites work: Approximation theory for the simulation of continuous Gaussian processes
cites work: A note on optimal and asymptotically optimal designs for certain time series models
cites work: A note on extreme values of locally stationary Gaussian processes
cites work: Q3838103
cites work: Multivariate splines: a probabilistic perspective
cites work: Q3314298
cites work: Optimal designs for approximating the path of a stochastic process
cites work: On optimal allocations for estimating the surface of a random field
cites work: A statistically important Gaussian process
cites work: Multivariate integration and approximation for random fields satisfying Sacks-Ylvisaker conditions
cites work: Q4389412
cites work: Designs for Regression Problems with Correlated Errors
cites work: Q5723322
cites work: Limit theorems for maxima and crossings of a sequence of Gaussian processes and approximation of random processes
cites work: Large deviations in the piecewise linear approximation of Gaussian processes with stationary increments
cites work: Q3911932
cites work: Sampling designs for estimation of a random process
cites work: Simulation and Approximation of Stochastic Processes by Spline Functions
cites work: Q3996207
description: scientific article; zbMATH DE number 1423769