Arbeitspapier

Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models

In the common Fourier regression model we determine the optimal designs for estimating the coefficients corresponding to the lower frequencies. An analytical solution is provided which is found by an alternative characterization of c-optimal designs. Several examples are provided and the performance of the D-optimal design with respect to the estimation of the lower order coefficients is investigated. The results give a complete answer to an open question which was recently raised by Dette and Melas (2003).

Language
Englisch

Bibliographic citation
Series: Technical Report ; No. 2005,15

Subject
trigonometric regression model
c-optimal design
Chebyshev approximation
two dimensional shape analysis
Regression
Schätztheorie
Theorie

Event
Geistige Schöpfung
(who)
Schpilev, P.
Melas, Viatcheslav B.
Dette, Holger
Event
Veröffentlichung
(who)
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
(where)
Dortmund
(when)
2005

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Schpilev, P.
  • Melas, Viatcheslav B.
  • Dette, Holger
  • Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen

Time of origin

  • 2005

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