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$n$-Kernel Orthogonal Polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens' sampling distributions, and positive-definite sequences
Robert C. Griiffiths, and Dario Spanó (2010)cite arxiv:1003.5131 Comment: 45 pages .
to Poisson_Dirichlet_distribution ewens_sampling_formula orthogonal_polynomials by peter.ralph on Apr 4, 2010, 5:02 PM
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Exchangeable and partially exchangeable random partitions
Jim Pitman Probab. Theory Related Fields 102(2):145--158 (1995)
to Poisson_Dirichlet_distribution chinese_restaurant_process ewens_sampling_formula exchangeability partitions residual_allocation by peter.ralph and 4 other users on Jan 15, 2010, 7:24 PM
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Exchangeability and related topics
David J. Aldous École d'été de probabilités de Saint-Flour, XIII---1983, volume 1117 of Lecture Notes in Math., Springer, Berlin, (1985)
to Brownian_bridge Brownian_motion GEM_distribution Poisson_Dirichlet_distribution chinese_restaurant_process deFinetti exchangeability exchangeable_increments reference residual_allocation review by peter.ralph and 2 other users on Dec 7, 2009, 5:16 AM
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The Ages of Alleles and a Coalescent
Peter Donnelly, and Simon Tavaré Advances in Applied Probability 18(1):1--19 (1986)
to GEM_distribution Moran_model Poisson_Dirichlet_distribution age_ordered coalescent_theory partitions by peter.ralph on Dec 3, 2009, 4:46 AM
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Random Partitions in Population Genetics
J. F. C. Kingman Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 361(1704):1-20 (1978)
to Poisson_Dirichlet_distribution coalescent_theory combinatorics partitions by peter.ralph on Sep 29, 2009, 12:16 AM
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Characterizations of exchangeable partitions and random discrete distributions by deletion properties
Alexander Gnedin, Chris Haulk, and Jim Pitman (2009)cite arxiv:0909.3642 Comment: 26 pages .
to GEM_distribution Poisson_Dirichlet_distribution combinatorics partitions regenerative_partition by peter.ralph and 1 other user on Sep 29, 2009, 12:04 AM
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The birth process with immigration, and the genealogical structure of large populations
Simon Tavaré J. Math. Biol. 25(2):161--168 (1987)
to GEM_distribution Poisson_Dirichlet_distribution genealogy immortal_particle yule_process by peter.ralph on May 12, 2009, 5:57 AM
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The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transformations
P. Diaconis, E. Mayer-Wolf, O. Zeitouni, and M.P.W. Zerner Annals of Probability (2004)
to Poisson_Dirichlet_distribution fragmentation_coalescence split_merge by peter.ralph on May 10, 2009, 5:12 AM
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Asymptotics of certain coagulation-fragmentation processes and invariant poisson-dirichlet measures
E. Mayer-Wolf, O. Zeitouni, and M.P.W. Zerner Electr. Journ. Prob (2002)
to Poisson_Dirichlet_distribution fragmentation_coalescence by peter.ralph on May 10, 2009, 3:58 AM
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Poisson-Kingman partitions
J. Pitman Lecture Notes-Monograph Series (2003)
to Poisson_Dirichlet_distribution exchangeability excursions partitions reference sampling_formula by peter.ralph and 1 other user on Apr 25, 2009, 1:55 AM
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Continuity and weak convergence of ranked and size-biased permutations on the infinite simplex
Peter Donnelly, and Paul Joyce Stochastic Process. Appl. 31(1):89--103 (1989)
to GEM_distribution Poisson_Dirichlet_distribution size_biased_parititions by peter.ralph and 1 other user on Apr 23, 2009, 5:38 AM
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Exchangeable and partially exchangeable random partitions
Jim Pitman Probability Theory and Related Fields 102(2):145--158 (June 1995)
to Poisson_Dirichlet_distribution Poisson_process exchangeability partitions subordinators by peter.ralph and 4 other users on Apr 23, 2009, 5:33 AM
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The representation of partition structures
JFC Kingman J. London Math. Soc (1978)
to GEM_distribution Poisson_Dirichlet_distribution partitions by peter.ralph on Apr 21, 2009, 9:24 PM
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Random discrete distributions invariant under size-biased permutation
J. Pitman Advances in Applied Probability (1996)
to GEM_distribution Poisson_Dirichlet_distribution by peter.ralph and 4 other users on Apr 21, 2009, 9:23 PM
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Poisson--Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition
J. Pitman Combinatorics, Probability and Computing 11(05):501--514 (2002)
to GEM_distribution Poisson_Dirichlet_distribution fragmentation_coalescence by peter.ralph and 2 other users on Apr 20, 2009, 7:30 AM
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The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
J. Pitman, and M. Yor Annals of Probability 25(2):855--900 (1997)
to GEM_distribution Poisson_Dirichlet_distribution coalescent_theory excursions partitions subordinators urn_models by peter.ralph and 5 other users on Apr 1, 2009, 1:40 AM
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The Poisson-Dirichlet distribution and its relatives revisited
Lars Holst (2001)
to GEM_distribution Poisson_Dirichlet_distribution chinese_restaurant_process gamma_subordinator hoppes_urn sampling_formula size_biased_parititions subordinators urn_models by peter.ralph on Feb 10, 2009, 11:58 PM
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Gibbs fragmentation trees
Peter McCullagh, Jim Pitman, and Matthias Winkel (2007)
to Poisson_Dirichlet_distribution beta_splitting fragmentation_coalescence by peter.ralph and 2 other users on Nov 17, 2008, 6:19 AM
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