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Analysis of variance on function spaces
Author:
A. Antoniadis a
| Affiliation: | a Laboratoire, I. M. A. G: B. P, Grenoble-Cedex, France |
DOI:
10.1080/02331888408801747
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
In this paper, we introduce the notion of analysis of variance on spaces of real functions defined on a product set and the ordinary analysis of variance in two way arrays appear as a special case. In order to obtain the results the theory of gaussian measures on Banach spaces is employed and a decomposition into orthogonal subspaces of a direct product type Hilbert space is discussed. The details of the analysis are illustrated by an example
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| Keywords: Analvsis of variance; gaussian Drocess; Banach sDace. tensor product; reproducing kernel Hilbert space; quadratic tests; random pictures |
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