A new characterization of the Dirichlet distribution using neutrality is given. This settles conjectures of Doksum and Mosimann. The characterization is contrasted with a parallel result for the lognormal distribution. Possible applications to random probabilities and prior distributions in survival analysis are noted.
CITATION STYLE
James, I. R., & Mosimann, J. E. (2007). A New Characterization of the Dirichlet Distribution Through Neutrality. The Annals of Statistics, 8(1). https://doi.org/10.1214/aos/1176344900
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