Abstract
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.
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Nordhoff, O. (2005). Expectation of Random Sets and the ‘Mean Values’ of Interval Data. In: Weihs, C., Gaul, W. (eds) Classification — the Ubiquitous Challenge. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28084-7_19
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DOI: https://doi.org/10.1007/3-540-28084-7_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25677-9
Online ISBN: 978-3-540-28084-2
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