On asymptotic distribution of optimal design for polynomial-type regression

Fu-Chuen Chang

Statistics & Probability Letters, 1998, vol. 36, issue 4, 421-425

Abstract: D-optimal designs [xi]*k,s for a class of polynomial-type regression model tfk,s(x) = vb x vb5(x, x2,..., xk), s> -1, on the intervals [a, 1], 0 [less-than-or-equals, slant] a [infinity], converge weakly to the arcsin distribution on [a, 1]. Comparisons of [xi]*k,s with the arcsin distribution [xi][infinity] are also made.

Keywords: Arcsin; distribution; D-efficiency; D-optimal; design; Jacobi; polynomial; Polynomial-type (search for similar items in EconPapers)
Date: 1998
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