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

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  • Holger Dette
  • Viatcheslav Melas
  • Piter Shpilev

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  • Holger Dette & Viatcheslav Melas & Piter Shpilev, 2007. "Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(4), pages 655-673, December.
    • Handle: RePEc:spr:aistmt:v:59:y:2007:i:4:p:655-673
    DOI: 10.1007/s10463-006-0068-2
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    References listed on IDEAS

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    1. Holger Dette & Viatcheslav Melas & Andrey Pepelyshev, 2002. "D-Optimal Designs for Trigonometric Regression Models on a Partial Circle," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(4), pages 945-959, December.
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    Citations

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    Cited by:

    1. Dette, Holger & Melas, Viatcheslav B., 2008. "Optimal designs for estimating pairs of coefficients in Fourier regression models," Technical Reports 2008,02, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Zongzhi Yue & Xiaoqing Zhang & P. van den Driessche & Julie Zhou, 2023. "Constructing K-optimal designs for regression models," Statistical Papers, Springer, vol. 64(1), pages 205-226, February.
    3. Harman, Radoslav & Jurík, Tomás, 2008. "Computing c-optimal experimental designs using the simplex method of linear programming," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 247-254, December.
    4. Fu-Chuen Chang & Lorens Imhof & Yi-Ying Sun, 2013. "Exact $$D$$ -optimal designs for first-order trigonometric regression models on a partial circle," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(6), pages 857-872, August.
    5. Alqallaf, Fatemah & Huda, S., 2013. "Minimax designs for the difference between two estimated responses in a trigonometric regression model," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 909-915.
    6. Xiaojian Xu & Xiaoli Shang, 2017. "D-optimal designs for full and reduced Fourier regression models," Statistical Papers, Springer, vol. 58(3), pages 811-829, September.
    7. Xiaojian Xu & Xiaoli Shang, 2014. "Optimal and robust designs for trigonometric regression models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(6), pages 753-769, August.

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