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Optimal designs for estimating individual coefficients in polynomial regression with no intercept

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  • Dette, Holger
  • Melas, Viatcheslav B.
  • Shpilev, Petr

Abstract

We identify optimal designs for estimating individual coefficients in a polynomial regression with no intercept. Here the regression functions do not form a Chebyshev system such that the seminal results of Studden (1968) characterizing c-optimal designs are not applicable.

Suggested Citation

  • Dette, Holger & Melas, Viatcheslav B. & Shpilev, Petr, 2020. "Optimal designs for estimating individual coefficients in polynomial regression with no intercept," Statistics & Probability Letters, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:stapro:v:158:y:2020:i:c:s0167715219302822
    DOI: 10.1016/j.spl.2019.108636
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    References listed on IDEAS

    as
    1. Fang, Zhide, 2002. "D-optimal designs for polynomial regression models through origin," Statistics & Probability Letters, Elsevier, vol. 57(4), pages 343-351, May.
    2. Kim-Hung Li & Tai-Shing Lau & Chongqi Zhang, 2005. "A note on D-optimal designs for models with and without an intercept," Statistical Papers, Springer, vol. 46(3), pages 451-458, July.
    3. Chang, Fu-Chuen, 1999. "Exact D-optimal designs for polynomial regression without intercept," Statistics & Probability Letters, Elsevier, vol. 44(2), pages 131-136, August.
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