@inproceedings{07dcfa1b2fdf44029098014c3e1fdf58,

title = "Partially independent random variables",

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.",

keywords = "Decidability, Dutch book, Existence conditions, Independent random variables, Partial independence",

author = "Costanza Catalano and Alberto Gandolfi",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2017. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.; The 2nd International Conference on Mathematics and Statistics, AUS-ICMS 2015 ; Conference date: 02-04-2015 Through 05-04-2015",

year = "2017",

doi = "10.1007/978-3-319-46310-0_3",

language = "English (US)",

isbn = "9783319463094",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "33--56",

editor = "Taher Abualrub and Jarrah, {Abdul Salam} and Sadok Kallel and Hana Sulieman and Sadok Kallel",

booktitle = "Mathematics Across Contemporary Sciences",

}