Confidence regions for the stationary point of a quadratic response surface based on the asymptotic distribution of its MLE

DOI10.1007/s11222-010-9202-3zbMath1252.62079OpenAlexW2044037764MaRDI QIDQ693301

Valeria Sambucini

Publication date: 7 December 2012

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11222-010-9202-3

zbMATH Keywords

unconstrained optimizationsecond-order polynomial model

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Asymptotic distribution theory in statistics (62E20) Point estimation (62F10) Response surface designs (62K20)

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Uses Software

• R
• gWidgets

Cites Work

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• A reference prior for the analysis of a response surface
• Another view on optimal design for estimating the point of extremum in quadratic regression
• Designs for estimating an extremal point of quadratic regression models in a hyperball
• Optimal designs based on exact confidence regions for parameter estimation of a nonlinear regression model
• A General Approach to Confidence Regions for Optimal Factor Levels of Response Surfaces
• Response Surfaces, Mixtures, and Ridge Analyses
• Likelihood and bayesian approaches to inference for the stationary point of a quadratic response surface
• Standard Errors for the Eigenvalues in Second-Order Response Surface Models
• A General Approach to Ridge Analysis with Confidence Intervals
• Confidence Intervals and an Improved Ridge Analysis of Response Surfaces
• New Prediction Interval and Band in the Nonlinear Regression Model: Application to Predictive Modeling in Foods
• Assessing the Precision of Turning Point Estimates in Polynomial Regression Functions
• A CONFIDENCE REGION FOR THE SOLUTION OF A SET OF SIMULTANEOUS EQUATIONS WITH AN APPLICATION TO EXPERIMENTAL DESIGN