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An alternate formulation of mean value for random geometric figures *
Author(s) -
Vitale Richard A.
Publication year - 1988
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1988.tb04680.x
Subject(s) - terminology , probabilistic logic , contrast (vision) , mathematics , value (mathematics) , geometric mean , calculus (dental) , statistical physics , computer science , statistics , artificial intelligence , linguistics , philosophy , physics , medicine , dentistry
SUMMARY 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.