Polynomial approximation of nonlinear regression functions |
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| Authors: | C Wisotzki |
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| Institution: | Sektion Mathematik , Humboldt-Universit?t , Unter den Linden 6 Postfach 1297, Berlin, DDR-1086G.D.R |
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| Abstract: | In the present paper a nonlinear regression function is approximated by a polynomial estimator according to the expectation of the quadratic L 2-distance as risk is given. For special experimental designs with repeating experimental points this estimator coincides with the estimator by the method of the reproducing kernel. Considerations about the relation for the sample size and the degree of the approximation polynomial and about the quadratic mean are given. |
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| Keywords: | two-sample problem integrated empirical copula process strong approximations copula Brownian bridges |
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