Title | Random Sets [electronic resource] : Theory and Applications / edited by John Goutsias, Ronald P. S. Mahler, Hung T. Nguyen |
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Imprint | New York, NY : Springer New York : Imprint: Springer, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1942-2 |
Descript | XIV, 416 p. online resource |
I. Image Modeling and Analysis -- Morphological analysis of random sets. An introduction -- Statistical problems for random sets -- On estimating granulometric discrete size distributions of random sets -- Logical granulometric filtering in the signal-union-clutter model -- On optimal filtering of morphologically smooth discrete random sets and related open problems -- II. Information/Data Fusion and Expert Systems -- On the maximum of conditional entropy for upper/lower probabilities generated by random sets -- Random sets in information fusion. An overview -- Cramรฉr-Rao type bounds for random set problems -- Random sets in data fusion. Multi-object state-estimation as a foundation of data fusion theory -- Extension of relational and conditional event algebra to random sets with applications to data fusion -- Belief functions and random sets -- III. Theoretical Statistics and Expert Systems -- Uncertainty measures, realizations and entropies -- Random sets in decision-making -- Random sets unify, explain, and aid known uncertainty methods in expert systems -- Laws of large numbers for random sets -- Geometric structure of lower probabilities -- Some static and dynamic aspects of robust Bayesian theory -- List of Participants