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

@inproceedings{Dette2005OptimalDF,
  title={Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models},
  author={Holger Dette},
  year={2005}
}
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… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
3 Citations
21 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Nonparametric regression and spline smoothing

  • R. Eubank
  • 2nd ed. Marcel Dekker.
  • 1999
Highly Influential
7 Excerpts

Summation of series

  • L.B.W. Jolley
  • New York: Dover Publications, Inc.
  • 1961
Highly Influential
7 Excerpts

Optimal Design of Experiments

  • F. Pukelsheim
  • Wiley, New York.
  • 1993
Highly Influential
8 Excerpts

Systematic and random errors in least squares estimation for circular contours

  • J. I. McCool
  • Precision Engineering 1, 215-220.
  • 1979
Highly Influential
5 Excerpts

Fourier biometrics: harmonic amplitudes as multivariate shape descriptors

  • J. C. Young, R. Ehrlich
  • Syst. Zool. 26, 336-342.
  • 1977
Highly Influential
4 Excerpts

Good designs for testing the degree of a polynomial mean

  • M. C. Spruill
  • Sankhya, Ser. B 52, 67-74
  • 1990
Highly Influential
1 Excerpt

General equivalence theory for optimum designs (approximate theory)

  • J. C. Kiefer
  • Ann. Statist. 2, 849-879.
  • 1974
Highly Influential
3 Excerpts

Optimal design on Tchebycheff points

  • W. J. Studden
  • Ann. Math. Statist. 39, 1435-1447.
  • 1968
Highly Influential
1 Excerpt

Optimal designs for first-order trigonometric regression on a partial circle

  • H. Wu
  • Statist. Sinica 12, 917-930.
  • 2002
1 Excerpt

Similar Papers

Loading similar papers…