@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",
}