A note on inconsistent families of discrete multivariate distributions

Sugata Ghosh, Subhajit Dutta, Marc G. Genton

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We construct a d-dimensional discrete multivariate distribution for which any proper subset of its components belongs to a specific family of distributions. However, the joint d-dimensional distribution fails to belong to that family and in other words, it is ‘inconsistent’ with the distribution of these subsets. We also address preservation of this ‘inconsistency’ property for the symmetric Binomial distribution, and some discrete distributions arising from the multivariate discrete normal distribution.
Original languageEnglish (US)
JournalJournal of Statistical Distributions and Applications
Issue number1
StatePublished - Jul 5 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This research was supported by the King Abdullah University of Science and Technology (KAUST).


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