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D-Optimal designs for weighted polynomial regression—A functional approach

  • Optimal Design
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Abstract

This paper is concerned with the problem of computing approximateD-optimal design for polynomial regression with analytic weight function on a interval [m 0-a,m 0+a]. It is shown that the structure of the optimal design depends ona and weight function. Moreover, the optimal support points and weights are analytic functions ofa ata=0. We make use of a Taylor expansion to provide a recursive procedure for calculating theD-optimal designs.

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Authors and Affiliations

  1. Department of Applied Mathematics, National Sun Yat-sen University, 804, Kaohsiung, Taiwan

    Fu-Chuen Chang

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  1. Fu-Chuen Chang
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Chang, FC. D-Optimal designs for weighted polynomial regression—A functional approach. Ann Inst Stat Math 57, 833–844 (2005). https://doi.org/10.1007/BF02915442

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  • DOI: https://doi.org/10.1007/BF02915442

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