Asymptotic optimal designs under long-range dependence error structure

DOI10.3150/09-BEJ185zbMath1200.62084arXiv1001.1817MaRDI QIDQ605883

Andrey Pepelyshev, Dette, Holger, Nikolai N. Leonenko, Anatoly A. Zhigljavsky

Publication date: 15 November 2010

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1817

zbMATH Keywords

long-range dependencelinear regressionasymptotic optimal designs

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Optimal statistical designs (62K05)

Related Items (1)

Correction to ``Asymptotic optimal designs under long-range dependence error structure

Uses Software

• longmemo

Cites Work

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• Contrasts under long-range correlations
• Asymptotic properties of the LSE in a regression model with long-memory stationary errors
• Asymptotic theory of nonlinear regression with long-range dependence
• On estimation of a regression model with long-memory stationary errors
• Long memory relationships and the aggregation of dynamic models
• On large-sample estimation for the mean of a stationary random sequence
• Robustness of design against autocorrelation in time I: Asymptotic theory, optimality for location and linear regression
• Harmonic analysis and boundary value problems in the complex domain
• Completely monotone generalized Mittag-Leffler functions
• Semiparametric analysis of long-range dependence in nonlinear regression
• Spectral properties of superpositions of Ornstein-Uhlenbeck type processes
• Power-law correlations, related models for long-range dependence and their simulation
• ON THE EFFICIENCY OF THE SAMPLE MEAN IN LONG-MEMORY NOISE
• Continuous-Time Stochastic Processes with Cyclical Long-Range Dependence
• Robustness of Design Against Autocorrelation in Time II: Optimality, Theoretical and Numerical Results for the First-Order Autoregressive Process
• Designs for Regression Problems with Correlated Errors
• Designs for Regression Problems With Correlated Errors: Many Parameters
• Regularly varying functions
• Applications of necessary and sufficient conditions for maximin efficient designs
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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