Partially independent random variables

Costanza Catalano, Alberto Gandolfi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study collections of random variables characterized by independence requirements assigned for only a fraction of the joint values of the variables. Such classes of random variables generalize various known models, like one-dependent processes. We determine existence conditions, showing that existence is decidable, and then interpret such conditions in terms ofDutch Books.As an example, a newlow density based independence model is being developed, exhibiting a phase transition in the vacuum probability.

Original languageEnglish (US)
Title of host publicationMathematics Across Contemporary Sciences
EditorsTaher Abualrub, Abdul Salam Jarrah, Sadok Kallel, Hana Sulieman, Sadok Kallel
PublisherSpringer New York LLC
Pages33-56
Number of pages24
ISBN (Print)9783319463094
DOIs
StatePublished - 2017
EventThe 2nd International Conference on Mathematics and Statistics, AUS-ICMS 2015 - Sharjah, United Arab Emirates
Duration: Apr 2 2015Apr 5 2015

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume190
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherThe 2nd International Conference on Mathematics and Statistics, AUS-ICMS 2015
CountryUnited Arab Emirates
CitySharjah
Period4/2/154/5/15

Keywords

  • Decidability
  • Dutch book
  • Existence conditions
  • Independent random variables
  • Partial independence

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Catalano, C., & Gandolfi, A. (2017). Partially independent random variables. In T. Abualrub, A. S. Jarrah, S. Kallel, H. Sulieman, & S. Kallel (Eds.), Mathematics Across Contemporary Sciences (pp. 33-56). (Springer Proceedings in Mathematics and Statistics; Vol. 190). Springer New York LLC. https://doi.org/10.1007/978-3-319-46310-0_3