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A note on inconsistent families of discrete multivariate distributions
Journal of Statistical Distributions and Applications Pub Date : 2017-07-05 , DOI: 10.1186/s40488-017-0061-8
Sugata Ghosh , Subhajit Dutta , Marc G. Genton

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.

中文翻译:

关于离散多元分布不一致族的一个注记

我们构造了一个d维离散多元分布,其分量的任何适当子集都属于特定的分布族。但是,联合d维分布不属于该族,换句话说,它与这些子集的分布“不一致”。我们还针对对称二项式分布以及由多元离散正态分布引起的一些离散分布解决了这种“不一致”属性的保留问题。
更新日期:2017-07-05
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