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Darst, R. B.; Legg, D. A.; Townsend, D. W.

Prediction in Orlicz spaces. (English) Zbl 0504.46023

Manuscr. Math. 35, 91-103 (1981).
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MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
41A50 Best approximation, Chebyshev systems
62F99 Parametric inference

Keywords:

best approximation; prediction operator; monotonicity; uniformly convex Orlicz spaces

Citations:

Zbl 0393.46026
Cite Review PDF
Full Text: DOI EuDML

References:

[1] R. E. Barlow, D. J. Bartholomew, J. M. Bremmer and H. D. Brunk,Statistical Inference Under Order Restrictions, Wiley, New York, 1972 · Zbl 0246.62038
[2] H. D. Brunk, Uniform inequalities for conditional p-means given ?-lattices, Ann. Prob.3, 1025-1030, (1975) · Zbl 0323.60052 · doi:10.1214/aop/1176996229
[3] R. B. Darst and G. A. DeBoth, Two approximation properties and a Radon-Nikodyn derivative for lattices of sets, Indiana University Math. J.21, 355-362, (1971) · Zbl 0224.28001 · doi:10.1512/iumj.1971.21.21027
[4] J. Diestel,Geometry of Banach Spaces ? Selected Topics, Lecture Notes in Mathematics, V.485, Springer-Verlag, Berlin, 1975 · Zbl 0307.46009
[5] M. A. Krasnosel’ skii and Y. R. Rutickii,Convex Functions and Orlicz Spaces, Groningen, 196l.
[6] D. Landers and L. Rogge, On projections and monotony in Lp -spaces, Manuscripta Math.26, 363-369 (1979) · Zbl 0393.46026 · doi:10.1007/BF01170260
[7] W. A. J. Luxemburg, Thesis. Delft Technical University, Delft, Netherlands, 1955
[8] H. Nakano,Topology and Linear Topological Spaces, Tokyo, 1951 · Zbl 0042.35903
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