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Study of the Probabilistic Information of a Random Set  (Make Corrections)  
Enrique Miranda, Ines Couso, Pedro Gil



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Abstract: Given a random set coming from the imprecise observation of a random variable, we study how to model the information about the distribution of this random variable. Specifically, we investigate whether the information given by the upper and lower probabilities induced by the random set is equivalent to the one given by the class of the distributions of the measurable selections; together with sufficient conditions for this, we also give examples showing that they are not equivalent in all ... (Update)

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BibTeX entry:   (Update)

@misc{ miranda-study,
  author = "Enrique Miranda and Ines Couso and Pedro Gil",
  title = "Study of the Probabilistic Information of a Random Set",
  url = "citeseer.ist.psu.edu/688135.html" }
Citations (may not include all citations):
602   Convergence of probability measures (context) - Billingsley - 1968
180   Random sets and integral geometry (context) - Matheron - 1975
158   Upper and lower probabilities induced by a multivalued mappi.. (context) - Dempster - 1967
30   Core and Equilibria of a Large Economy (context) - Hildenbrand - 1974
13   Statistics with vague data (context) - Kruse, Meyer - 1987
8   On random sets and belief functions (context) - Nguyen - 1978
7   Some characterizations of lower probabilities and other mono.. (context) - Chateauneuf, Jaffray - 1989
5   Kluwer Academic Publishers (context) - Denneberg, integral - 1994
4   Equally distributed correspondences (context) - Hart, Kohlberg - 1974
3   Law of large numbers for random sets and allocation processe.. (context) - Arstein, Hart - 1981
3   Fundamenta Mathematicae (context) - Himmelberg - 1975
2   Imprecise probabilities induced by multi-valued mappings (context) - Miranda, de Cooman et al. - 2002
1   Teor a de la Probabilidad para datos imprecisos (context) - Couso - 1999
1   Estudio de la informacion probabilstica de los intervalos al.. (context) - Miranda - 2003
1   The distribution of unbounded random sets and the multivalue.. (context) - Hess - 1999
1   Upper probabilities and selectors of random sets (context) - Miranda, Couso et al. - 2002
1   Extreme points of credal sets generated by 2-alternating cap.. (context) - Miranda, Couso et al. - 2003
1   Upper probabilities attainable by distributions of measurabl.. (context) - Miranda, Couso et al. - 2002
1   Random correspondences as bundles of random variables (context) - Castaldo, Marinacci - 2001
1   Second order possibility measure induced by a fuzzy random v.. (context) - Couso, Montes et al. - 2002

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