1.0Microsoft Researchhttps://www.microsoft.com/en-us/researchTom Minkahttps://www.microsoft.com/en-us/research/people/minka/The Dirichlet-tree Distribution - Microsoft Researchrich600338<blockquote class="wp-embedded-content" data-secret="QuKyP0YBsW"><a href="https://www.microsoft.com/en-us/research/publication/dirichlet-tree-distribution/">The Dirichlet-tree Distribution</a></blockquote><iframe sandbox="allow-scripts" security="restricted" src="https://www.microsoft.com/en-us/research/publication/dirichlet-tree-distribution/embed/#?secret=QuKyP0YBsW" width="600" height="338" title="“The Dirichlet-tree Distribution” — Microsoft Research" data-secret="QuKyP0YBsW" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" class="wp-embedded-content"></iframe><script type="text/javascript">
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This note further explores the Dirichlet-tree distribution developed by Dennis (1991). An inclusion relationship is given for different tree structures and an independence relationship is given for probabilities in the tree. The posterior, evidence, and predictive density are derived for multinomial observations.