Prediction in Orlicz spaces |
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Authors: | R. B. Darst D. A. Legg D. W. Townsend |
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Affiliation: | (1) Colorado Sate University, 80523 Fort Collins, CO, USA |
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Abstract: | In this paper, we investigate the prediction (or best approximation) operator from a uniformly convex real Orlicz space to a subset of -lattice measurable functions. In particular, a counterexample to the monotoncity property, which holds in Lp spaces, is given. Also, a sufficient condition for monotonicity to hold is given. Finally, nested -lattices, as occur in isotonic regression, are considered.This author supported by a grant from the Indiana University-Purdue University at Fort Wayne Research and Instructional Development Support Program |
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