TY - JOUR
T1 - A note on inconsistent families of discrete multivariate distributions
AU - Ghosh, Sugata
AU - Dutta, Subhajit
AU - Genton, Marc G.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This research was supported by the King Abdullah University of Science and Technology (KAUST).
PY - 2017/7/5
Y1 - 2017/7/5
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/625173
UR - https://jsdajournal.springeropen.com/articles/10.1186/s40488-017-0061-8
UR - http://www.scopus.com/inward/record.url?scp=85065134848&partnerID=8YFLogxK
U2 - 10.1186/s40488-017-0061-8
DO - 10.1186/s40488-017-0061-8
M3 - Article
SN - 2195-5832
VL - 4
JO - Journal of Statistical Distributions and Applications
JF - Journal of Statistical Distributions and Applications
IS - 1
ER -