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Topics in Optimal Design

In the early nineties, at the initiative of Sinha and financial support of Shah and Liski (from their respective Research Project Funds), the authors - inspired by their similar research interests - started collaborative research at various institutions mostly in pairs and triplets. It took more tim...

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Bibliographic Details
Main Authors: Liski, Erkki P., Mandal, Nripes K. (Author), Shah, Kirti R. (Author), Sinha, Bikas K. (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Statistics
Subjects:
Statistical Theory And Methods
Statistics 
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Scope of the Monograph
  • and Literature Review
  • Some Useful Linear Models
  • Estimation of Regression Parameters in RCR Models
  • Summary
  • References
  • Optimal Regression Designs in Symmetric Domains
  • Loewner Comparison of Designs
  • Polynomial Fit Models
  • Multi-Factor First-Degree Polynomial Fit Models
  • References
  • Optimal Regression Designs in Asymmetric Domains
  • de la Garza Phenomenon in Quadratic and Cubic Regression
  • Optimal Designs for Parameter Estimation in RCR Models
  • Optimal Designs for Prediction in RCR Models
  • Optimal Designs for Inverse Prediction in RCR Models
  • References
  • Optimal Designs for Covariates’ Models with Structured Intercept Parameter
  • Optimal Regression Designs with One-Way Classified Intercepts
  • Optimal Regression Designs with Two-Way Classified Intercepts
  • Concluding Remarks
  • References
  • Stochastic Distance Optimality
  • Properties of the DS-Optimality Criterion
  • Discrete DS-Optimal Designs
  • DS-Optimal Regression Designs
  • Generalizations of DS-Optimality
  • References
  • Designs in the Presence of Trends
  • Preliminaries
  • Optimality within Restricted Classes
  • Optimal Designs in V(v, b, k)
  • Efficiency Bounds
  • References
  • Additional Selected Topics
  • Optimal Designs for a Competing Effects Model
  • Split Block Designs
  • Nested Experimental Designs
  • Optimality Status of Incomplete Layout Three-Way Balanced Designs
  • Optimal Designs Under Heteroscedastic Errors in Linear Regression
  • References
  • Author Index

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