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Optimal Regression Designs in Symmetric Domains

  • Erkki P. Liski
  • Nripes K. Mandal
  • Kirti R. Shah
  • Bikas K. Sinha
Part of the Lecture Notes in Statistics book series (LNS, volume 163)

Abstract

Model(s): Fixed coefficient regression models
  • Single factor polynomial

  • Multi-factor linear Symmetric experimental domains: Interval, hypercube and unit ball Major tools: de la Garza (DLG) phenomenon and Loewner order domination of information matrices for search reduction Optimality criteria: Maximization of optimality functional Optimality results: Specific optimal designs for estimation of regression parameters under continuous design theory Thrust: Symmetry, invariance and concavity of optimality functional vis - a - vis symmetric experimental domains

Keywords

Information Matrix Support Point Symmetric Domain Orthogonal Design Hadamard Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Erkki P. Liski
    • 2
  • Nripes K. Mandal
    • 1
  • Kirti R. Shah
    • 4
  • Bikas K. Sinha
    • 3
  1. 1.Department of StatisticsCalcutta UniversityCalcuttaIndia
  2. 2.Department of Mathematics, Statistics, and PhilosophyUniversity of TampereTampereFinland
  3. 3.Stat-Math DivisonIndian Statistical InstituteCalcuttaIndia
  4. 4.Department of Statistics and Actuarial ScienceUniversity of WaterlooWaterlooCanada

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