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Minimax designs for the difference between two estimated responses in a trigonometric regression model

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  • Alqallaf, Fatemah
  • Huda, S.

Abstract

Designs for the first-order trigonometric regression model over an interval on the real line are considered for the situation where estimation of the differences between responses at two points in the factor space is of primary interest. Minimization of the variance of the difference between estimated responses at two points maximized over all pairs of points in the region of interest is taken as the design criterion. Optimal designs under the minimax criterion are derived for various set-ups. Some comparisons with the traditional D-optimal designs are also provided.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:3:p:909-915
    DOI: 10.1016/j.spl.2012.12.002
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    References listed on IDEAS

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    1. Dette, Holger & Melas, Viatcheslav B. & Biedermann, Stefanie, 2002. "A functional-algebraic determination of D-optimal designs for trigonometric regression models on a partial circle," Statistics & Probability Letters, Elsevier, vol. 58(4), pages 389-397, July.
    2. 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.
    3. 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.
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