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Factorisation properties of the strong product

Gert De Cooman UGent, Enrique Miranda and Marco Zaffalon (2010) Advances in Intelligent and Soft Computing. In Advances in Intelligent and Soft Computing 77. p.139-147
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.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Factorisation, Strong independence, Epistemic independence, Coherent lower previsions, COHERENT LOWER PREVISIONS
in
Advances in Intelligent and Soft Computing
editor
Christian Borgelt, Gil González Rodriguez, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemysław Grzegorzewski and Olgierd Hryniewicz
series title
Advances in Intelligent and Soft Computing
volume
77
issue title
Combining soft computing and statistical methods in data analysis
pages
139 - 147
publisher
Springer
place of publication
Berlin, Germany
conference name
1st International Workshop on Soft Methods in Probability and Statistics (SMPS 2002)
conference location
Warsaw, Poland
conference start
2002-09-09
conference end
2002-09-13
Web of Science type
Proceedings Paper
Web of Science id
000289216000018
ISSN
1867-5662
ISBN
9783642147456
DOI
10.1007/978-3-642-14746-3_18
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1249618
handle
http://hdl.handle.net/1854/LU-1249618
date created
2011-05-31 15:45:01
date last changed
2017-01-02 09:53:16
@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},
}

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.