2005 | OriginalPaper | Buchkapitel
Expectation of Random Sets and the ‘Mean Values’ of Interval Data
verfasst von : Ole Nordhoff
Erschienen in: Classification — the Ubiquitous Challenge
Verlag: Springer Berlin Heidelberg
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Several possibilities of defining the expectation of random p-dimensional intervals are proposed. After defining the expectation via reducing intervals to their extremal points p-dimensional intervals (rectangles) are treated as Random Closed Sets (RCSs). In this framework Random Closed Rectangles (RCRs) are defined and the properties of different definitions for expectations of RCSs, applied on RCRs are studied. In addition known mean values of interval data are integrated in this generalized approach.