Annals of Mathematical Statistics

On a Theorem of Hoel and Levine on Extrapolation Designs

J. Kiefer and J. Wolfowitz

Full-text: Open access

Abstract

Recent results [5] of Hoel and Levine (1964), which assert that designs on $\lbrack -1, 1\rbrack$ which are optimum for certain polynomial regression extrapolation problems are supported by the "Chebyshev points," are extended to cover other nonpolynomial regression problems involving Chebyshev systems. In addition, the large class of linear parametric functions which are optimally estimated by designs supported by these Chebyshev points is characterized.

Article information

Source
Ann. Math. Statist., Volume 36, Number 6 (1965), 1627-1655.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177699793

Digital Object Identifier
doi:10.1214/aoms/1177699793

Mathematical Reviews number (MathSciNet)
MR185769

Zentralblatt MATH identifier
0138.14002

JSTOR
links.jstor.org

Citation

Kiefer, J.; Wolfowitz, J. On a Theorem of Hoel and Levine on Extrapolation Designs. Ann. Math. Statist. 36 (1965), no. 6, 1627--1655. doi:10.1214/aoms/1177699793. https://projecteuclid.org/euclid.aoms/1177699793


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