The Spacing of Observations in Polynomial Regression

DOI10.1214/aoms/1177706730zbMath0087.15303OpenAlexW2040406273MaRDI QIDQ3258238

P. G. Guest

Publication date: 1958

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

Full work available at URL: https://doi.org/10.1214/aoms/1177706730

zbMATH Keywords

statistics

Related Items

\(D\)-optimal designs for polynomial regression models through origin ⋮ On optimal designs and complete class theorems for experiments with continuous and discrete factors of influence ⋮ Optimal designs for experiments with mixtures: a survey ⋮ Algunas aplicaciones de los criterios de espaciamiento optimo ⋮ On the construction of optimal designs ⋮ An application of the Kiefer-Wolfowitz equivalence theorem to ANOVA models with additive regression ⋮ Optimal designs in growth curve models. I: Correlated model for linear growth: Optimal designs for slope parameter estimation and growth prediction ⋮ Connections between the extreme points for Vandermonde determinants and minimizing risk measure in financial mathematics ⋮ Saturated designs for multivariate cubic regression ⋮ Robust regression designs for approximate polynomial models ⋮ D-optimal designs for weighted polynomial regression. ⋮ \(G\)-optimal exact designs for quadratic regression ⋮ Optimal Designs for Rational Function Regression ⋮ Properties of optimal polynomial designs under smoothing spline models ⋮ Synthesis of optimal input signals for system identification ⋮ A general approach to \(D\)-optimal designs for weighted univariate polynomial regression models ⋮ An introduction to designh optimality with an overview of the literature ⋮ New criteria for robust integer-valued designs in linear models ⋮ Exact and approximate \(D\)-optimal designs in polynomial regression ⋮ D-optimal design for cubic polynomial regression on the q-simplex ⋮ Admissible and optimal exact designs for polynomial regression ⋮ Some History Leading to Design Criteria for Bayesian Prediction ⋮ Obituary: Jack Carl Kiefer (1924--1981). A brief reflection on the life and work of Jack Carl Kiefer ⋮ The interplay of optimality and combinatorics in experimental design ⋮ Constrained \(D\)- and \(D_ 1\)-optimal designs for polynomial regression. ⋮ Robust designs for polynomial regression by maximizing a minimum of \(D\)- and \(D_1\)-efficiencies