Browsing by Author "Ruymgaart, Frits (TTU)"
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Item Some asymptotic theory for functional regression and classification(2011) Ruymgaart, Frits (TTU); Wang, Jing (TTU); Wei, Shih Hsuan (TTU); Yu, Li (TTU)Exploiting an expansion for analytic functions of operators, the asymptotic distribution of an estimator of the functional regression parameter is obtained in a rather simple way; the result is applied to testing linear hypotheses. The expansion is also used to obtain a quick proof for the asymptotic optimality of a functional classification rule, given Gaussian populations. © 2011 Frits Ruymgaart et al.