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Factorisation properties of the strong product

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Abstract
We investigate a number of factorisation conditions in the frame- work of sets of probability measures, or coherent lower previsions, with finite referential spaces. We show that the so-called strong product constitutes one way to combine a number of marginal coherent lower previsions into an independent joint lower prevision, and we prove that under some conditions it is the only independent product that satisfies the factorisation conditions.
Keywords
Factorisation, Strong independence, Epistemic independence, Coherent lower previsions, COHERENT LOWER PREVISIONS

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Chicago
De Cooman, Gert, Enrique Miranda, and Marco Zaffalon. 2010. “Factorisation Properties of the Strong Product.” In Advances in Intelligent and Soft Computing, ed. Christian Borgelt, Gil González Rodriguez, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemysław Grzegorzewski, and Olgierd Hryniewicz, 77:139–147. Berlin, Germany: Springer.
APA
De Cooman, Gert, Miranda, E., & Zaffalon, M. (2010). Factorisation properties of the strong product. In C. Borgelt, G. González Rodriguez, W. Trutschnig, M. A. Lubiano, M. Á. Gil, P. Grzegorzewski, & O. Hryniewicz (Eds.), Advances in Intelligent and Soft Computing (Vol. 77, pp. 139–147). Presented at the 1st International Workshop on Soft Methods in Probability and Statistics (SMPS 2002), Berlin, Germany: Springer.
Vancouver
1.
De Cooman G, Miranda E, Zaffalon M. Factorisation properties of the strong product. In: Borgelt C, González Rodriguez G, Trutschnig W, Lubiano MA, Gil MÁ, Grzegorzewski P, et al., editors. Advances in Intelligent and Soft Computing. Berlin, Germany: Springer; 2010. p. 139–47.
MLA
De Cooman, Gert, Enrique Miranda, and Marco Zaffalon. “Factorisation Properties of the Strong Product.” Advances in Intelligent and Soft Computing. Ed. Christian Borgelt et al. Vol. 77. Berlin, Germany: Springer, 2010. 139–147. Print.
@inproceedings{1249618,
  abstract     = {We investigate a number of factorisation conditions in the frame- work of sets of probability measures, or coherent lower previsions, with finite referential spaces. We show that the so-called strong product constitutes one way to combine a number of marginal coherent lower previsions into an independent joint lower prevision, and we prove that under some conditions it is the only independent product that satisfies the factorisation conditions.},
  author       = {De Cooman, Gert and Miranda, Enrique and Zaffalon, Marco},
  booktitle    = {Advances in Intelligent and Soft Computing},
  editor       = {Borgelt, Christian and Gonz{\'a}lez Rodriguez, Gil and Trutschnig, Wolfgang and Lubiano, Mar{\'i}a Asunci{\'o}n and Gil, Mar{\'i}a {\'A}ngeles and Grzegorzewski, Przemys\unmatched{0142}aw and Hryniewicz, Olgierd},
  isbn         = {9783642147456},
  issn         = {1867-5662},
  keyword      = {Factorisation,Strong independence,Epistemic independence,Coherent lower previsions,COHERENT LOWER PREVISIONS},
  language     = {eng},
  location     = {Warsaw, Poland},
  pages        = {139--147},
  publisher    = {Springer},
  title        = {Factorisation properties of the strong product},
  url          = {http://dx.doi.org/10.1007/978-3-642-14746-3\_18},
  volume       = {77},
  year         = {2010},
}

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