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The Poisson-Dirichlet distribution
1992Abstract The parameters α j may take any strictly positive values, and the character of the distribution changes markedly as these vary. If α j = 1 for all j we have the uniform distribution on Δ n If the α j = are large, (9.3) concentrates probability well away from the boundaries of Δ n, corresponding to distributions p which are ...
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On the distribution of points in a poisson dirichlet process
Journal of Applied Probability, 1988A probability density function important in the Poisson Dirichlet process of population genetics is studied. An accurate computational algorithm is given for this density and for the marginal distributions of the points in the Poisson Dirichlet process. The distribution of the maximal point of the process is tabulated.
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Interpreting Belief Functions as Dirichlet Distributions
2007Traditional Dempster Shafer belief theory does not provide a simple method for judging the effect of statistical and probabilistic data on belief functions and vice versa. This puts belief theory in isolation from probability theory and hinders fertile cross-disciplinary developments, both from a theoretic and an application point of view.
Audun Jøsang, Zied Elouedi
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The Poisson–Dirichlet Distribution
2010The focus of this chapter is the Poisson–Dirichlet distribution, the central topic of this book. We introduce this distribution and discuss various models that give rise to it. Following Kingman (J. Roy. Statist. Soc. B 37:1–22, 1975), the distribution is constructed through the gamma process. An alternative construction in (R. Arratia, A.D.
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Estimating Normal Means with a Dirichlet Process Prior
Journal of the American Statistical Association, 1994Michael Escobar
exaly
Sampling the Dirichlet Mixture Model with Slices
Communications in Statistics Part B: Simulation and Computation, 2007Stephen G Walker
exaly

