Accession Number:

AD0659064

Title:

OPTIMAL DESIGNS ON TCHEBYCHEFF POINTS,

Descriptive Note:

Corporate Author:

PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s):

Report Date:

1967-09-01

Pagination or Media Count:

29.0

Abstract:

Kiefer and Wolfowitz 1959 proved that the optimal design for estimating the highest coefficient in polynomial regression is supported by certain Tchebycheff points. Hoel and Levine 1964 showed that the optimal designs for extrapolation in polynomial regression were all supported by the Tchebycheff points. These results were extended by Kiefer and Wolfowitz 1965 to cover nonpolynomial regression problems involving Tchebycheff systems and the large class of designs supported by the Tchebycheff points was characterized. In the present paper it is shown that the optimal design for estimating any specific parameter is supported by one of two sets of Tchebycheff points. Different proofs of the Kiefer-Wolfowitz results are also presented. Author

Subject Categories:

  • Statistics and Probability
  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE