Authors
Ka Chun Cheung, Ambrose Lo
Publication date
2014/3/1
Journal
Insurance: Mathematics and Economics
Volume
55
Pages
180-190
Publisher
North-Holland
Description
Mutual exclusivity is an extreme negative dependence structure that was first proposed and studied in Dhaene and Denuit (1999) in the context of insurance risks. In this article, we revisit this notion and present versatile characterizations of mutually exclusive random vectors via their pairwise counter-monotonic behaviour, minimal convex sum property, distributional representation and the characteristic function of the sum of their components. These characterizations highlight the role of mutual exclusivity in generalizing counter-monotonicity as the strongest negative dependence structure in a multi-dimensional setting.
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