A note on robust designs for polynomial regression. (English) Zbl 0728.62072
Summary: We show that every discrete symmetric probability measure on [-1,1] with finite support can be characterized as a model robust D-optimal design [in the sense of E. Läuter, Math. Operationsforsch. Statistik 5, 379-398 (1974; Zbl 0297.62056)] in polynomial regression. As special cases, the discrete uniform and some model robust designs given in the literature are identified as optimal designs for a class of polynomial regression models.
Keywords:
canonical moments; discrete symmetric probability measure; finite support; model robust D-optimal design; polynomial regression; discrete uniformCitations:
Zbl 0297.62056References:
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