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An alternate formulation of mean value for random geometric figures* |
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| Authors: | Richard A Vitale |
| Abstract: | In contrast to the traditional technique of averaging functionals of a random geometric figure, it is possible to consider an averaging process which treats the figure as a whole. The result in probabilistic terminology is an expectation, which is itself a figure. Theoretical foundations and various instances are presented in an informal survey. |
| Keywords: | Brü nn-Minkowski inequality convex body expectation growth model mean value random matrix random set support function zonoid |