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Ds-optimal designs for weighted polynomial regressionMao, Chiang-Yuan 21 June 2007 (has links)
This paper is devoted to studying the problem of constructing Ds-optimal design for d-th degree polynomial regression with analytic weight function
on the interval [m-a,m+a],m,a in R. It is demonstrated that the structure of the optimal design depends on d, a and weight function only, as a close to 0. Moreover, the Taylor polynomials of the scaled versions of the optimal support points and weights can be computed via a recursive formula.
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