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

2019/06/19 by Holger Dette, Dette, Holger, Viatcheslav B. Melas +3
Decision Sciences · #FOS: Mathematics #Optimal Experimental Design Methods #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1906.08343

openalex publication_date 2019/06/19 · openalex created_date 2022/07/22 · openalex updated_date 2026/07/28

Abstract

In a seminal paper citestudden1968 characterized c-optimal designs in\nregression models, where the regression functions form a Chebyshev system. He\nused these results to determine the optimal design for estimating the\nindividual coefficients in a polynomial regression model on the interval\n[-1,1] explicitly. In this note we identify the optimal design for estimating\nthe individual coefficients in a polynomial regression model with no intercept\n(here the regression functions do not form a Chebyshev system).\n

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