A New Characterization of the Dirichlet Distribution Through Neutrality

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...

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Veröffentlicht in:	The Annals of statistics 1980-01, Vol.8 (1), p.183-189
Hauptverfasser:	James, Ian R., Mosimann, James E.
Format:	Artikel
Sprache:	eng
Schlagworte:	62C10 62E10 62H05 Bayesian survival analysis Coordinate systems Dirichlet distribution lognormal distribution Neutral processes neutrality Random variables size variables Statistical distributions
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Beschreibung
Zusammenfassung:	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.
ISSN:	0090-5364 2168-8966
DOI:	10.1214/aos/1176344900