A characterization of the Dirichlet distribution through global and local parameter independence
Open Access
- 1 June 1997
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 25 (3)
- https://doi.org/10.1214/aos/1069362752
Abstract
This article is a characterization ofthe Dirichlet distribution based on local and global parameter independence and on theassumption that the probability distributions of all the parameters are positive pdfs. InSection 3 we explore the circumstances under which our characterization implies that thedistribution of the parameters associated with each node in a Bayesian network must beDirichlet, in which case, the fifth assumption for learning is actually redundant. The as3sumption of...Keywords
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