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Theory and Method

Some Robust-Type D-Optimal Designs in Polynomial Regression

Pages 916-921 | Received 01 Sep 1981, Published online: 12 Mar 2012

References

  • Brezinski , Claude . 1980 . Padé-Type Approximation and General Orthogonal Polynomials , Boston : Birkhäuser . ISNM 50
  • Kiefer , J. and Wolfowitz , J. 1960 . “The Equivalence of Two Extremum Problems,” . Canadian Journal of Mathematics , 12 : 363 – 366 .
  • Skibinsky , Morris . 1969 . “Some Striking Properties of Binomial and Beta Moments,” . Annals of Mathematical Statistics , 40 : 1753 – 1764 .
  • Stigler , Stephen M. 1971 . “Optimal Experimental Design for Polynomial Regression,” . Journal of the American Statistical Association , 66 : 311 – 318 .
  • Studden , W. J. 1980 . “Ds-Optimal Designs for Polynomial Regression Using Continued Fractions,” . Annals of Mathematical Statistics , 8 : 1132 – 1141 .
  • Studden , W. J. 1982 . “Optimal Designs for Weighted Polynomial Regression Using Canonical Moments,” to appear in Statistical Decision Theory and Related Topics III.
  • Wall , H. S. 1948 . Analytic Theory of Continued Fractions , New York : Van Nostrand .

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