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- W2606686948 abstract "This chapter takes a general approach to the estimation of linear forms of the coefficients of the Chebyshev regression model. It introduces the notion of estimable linear forms; those are forms which admit an unbiased linear estimator. In the formalism, the optimal design can be studied and obtained through tools pertaining to the geometry of semi-definite positive matrices. The chapter presents the geometry of the feasible cone and a description of the resulting properties of estimable forms. It also introduces the Elfving set of vectors which provides a link between estimable linear forms of the parameters and the corresponding optimal designs. A theorem by Studden and Karlin provides a complete characterization of the optimal designs; some use is made of the theory of best uniform approximation of functions. It also leads to an effective way to obtain this design. The chapter discusses the link which connects the matrix of moments and the estimable linear forms." @default.
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- W2606686948 date "2017-04-14" @default.
- W2606686948 modified "2023-09-25" @default.
- W2606686948 title "Optimal Design for Linear Forms of the Parameters in a Chebyshev Regression" @default.
- W2606686948 doi "https://doi.org/10.1002/9781119422327.ch6" @default.
- W2606686948 hasPublicationYear "2017" @default.
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