Optimal designs for the identification of the order of a Fourier regression
From MaRDI portal
Publication:1807126
DOI10.1214/aos/1024691251zbMath0930.62075OpenAlexW2008233551MaRDI QIDQ1807126
Publication date: 9 November 1999
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1024691251
Linear regression; mixed models (62J05) Optimal statistical designs (62K05) General nonlinear regression (62J02)
Related Items (26)
Criterion-robust optimal designs for model discrimination and parameter estimation in Fourier regression models ⋮ Optimal discrimination designs ⋮ \(T\)-optimal discriminating designs for Fourier regression models ⋮ Optimal discriminating designs for several competing regression models ⋮ Minimax designs for estimating slopes in a trigonometric regression model ⋮ Robust \(T\)-optimal discriminating designs ⋮ Bayesian \(T\)-optimal discriminating designs ⋮ D-optimal designs for full and reduced Fourier regression models ⋮ Optimal designs for trigonometric regression models ⋮ \(D\)-optimal designs for combined linear and trigonometric regression ⋮ Model-robust \(R\)-optimal designs in linear regression models ⋮ Optimal designs for discriminating between dose-response models in toxicology studies ⋮ \(D\)-optimal designs for combined polynomial and trigonometric regression on a partial circle ⋮ \(T\)-optimal designs for discrimination between two polynomial models ⋮ \(I^r_L\)-optimal designs for a hierarchically ordered system of regression models ⋮ Optimal and robust designs for trigonometric regression models ⋮ Optimal designs for estimating individual coefficients in Fourier regression models ⋮ A semi-infinite programming based algorithm for determining T-optimum designs for model discrimination ⋮ Efficient discriminating design for a class of nested polynomial regression models ⋮ Rejoinder: A general approach to \(D\)-optimal designs for weighted univariate polynomial regression models ⋮ Constrained optimal discrimination designs for Fourier regression models ⋮ Finite sample performance of sequential designs for model identification ⋮ Criterion-robust optimal product designs for discrimination between nested response surface models ⋮ Optimal Designs for Trigonometric Regression ⋮ Standardized maximin criterion for discrimination and parameter estimation of nested models ⋮ A functional-algebraic determination of \(D\)-optimal designs for trigonometric regression models on a partial circle.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal designs for trigonometric and polynomial regression using canonical moments
- Principal representations and canonical moment sequences for distributions on an interval
- Note on some \(\phi _ p\)-optimal designs for polynomial regression
- \(D_s\)-optimal designs for polynomial regression using continued fractions
- General equivalence theory for optimum designs (approximate theory)
- Discrimination designs for polynomial regression on compact intervals
- Lattice-based \(D\)-optimum design for Fourier regression
- D-optimal designs on the unit \(q\)-ball
- Optimal designs for identifying the degree of a polynomial regression
- Design and analysis of computer experiments when the output is highly correlated over the input space
- A note on the equivalence of D-optimal design measures for three rival linear models
- Some Robust-Type D-Optimal Designs in Polynomial Regression
- Minimax Designs in Two Dimensional Regression
- Optimal Designs on Tchebycheff Points
- Some Striking Properties of Binomial and Beta Moments
- The range of the (n + 1)th moment for distributions on [0, 1]
- Planning experiments to detect inadequate regression models
- The Choice of the Degree of a Polynomial Regression as a Multiple Decision Problem
This page was built for publication: Optimal designs for the identification of the order of a Fourier regression