Coalescents With Multiple Collisions

Coalescents With Multiple Collisions (1999)

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by Jim Pitman

Venue:	Ann. Probab
Citations:	114 - 11 self

BibTeX

@ARTICLE{Pitman99coalescentswith,
    author = {Jim Pitman},
    title = {Coalescents With Multiple Collisions},
    journal = {Ann. Probab},
    year = {1999},
    volume = {27},
    pages = {1870--1902}
}

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Abstract

For each finite measure on [0

Citations

2043	An Introduction to Probability Theory and its Applications. Vol. II. Second edition - Feller - 1971
707	A Bayesian analysis of some nonparametric problems - Ferguson - 1973
218	The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator - Pitman, Yor - 1997
214	The coalescent - Kingman - 1982
142	Deterministic and stochastic model for coalescence (aggregation and coagulation): A review of the mean-field theory and probabilists - Aldous - 1999
140	On the genealogy of large populations - Kingman - 1982
127	Exchangeability and related topics - Aldous - 1985
103	Exchangeable and partially exchangeable random partitions. Probab. Theory Related Fields 102(2 - Pitman - 1995
96	Discrete Multivariate Distributions - Johnson, Kotz, et al. - 1997
88	Random discrete distributions - Kingman - 1975
87	Some developments of the Blackwell-MacQueen urn scheme - Pitman - 1996
84	Brownian excursions, critical random graphs and the multiplicative coalescent - Aldous - 1997
81	The sampling theory of selectively neutral alleles - Ewens - 1972
72	Ruelle's probability cascades and an abstract cavity method - Bolthausen, Sznitman - 1998
66	Lines-of-descent and genealogical processes, and their application in population genetic models - Tavaré - 1984
65	Size-biased sampling of Poisson point processes and excursions. Probab. Theory Related Fields 92 - Perman, Pitman, et al. - 1992
63	The standard additive coalescent - Aldous, Pitman - 1998
61	The representation of partition structures - Kingman - 1978
44	Construction of Markovian coalescents - Evans, Pitman - 1998
42	A mathematical reformulation of Derrida’s - Ruelle - 1987
37	Tailfree and neutral random probabilities and their posterior distributions - Doksum - 1974
37	Random discrete distributions invariant under size-biased permutation - PITMAN - 1993
37	Partition structures derived from Brownian motion and stable subordinators - Pitman - 1997
35	Exchangeability and the evolution of large populations - Kingman - 1982
34	Random partitions in population genetics - Kingman - 1978
32	The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Probab. Theory Relat. Fields 117 - Bertoin, Gall - 2000
30	Une extension multidimensionnelle de la loi de l’arc sinus - Barlow, Pitman, et al. - 1989
20	Random processes - Rosenblatt - 1974
19	Coagulation in finite systems - Lushnikov - 1978
19	Stochastic coalescence - Marcus - 1968
18	Sufficient statistics and extreme - DYNKIN - 1978
18	Population genetics theory - the past and the future - Ewens - 1990
14	Random discrete distributions derived from self-similar random sets, Electron - Pitman, Yor - 1996
14	On the relative lengths of excursions derived from a stable subordinator - Pitman, Yor - 1997
13	The entrance boundary of the multiplicative coalescent - Aldous, Limic - 1998
13	Random combinatorial structures and prime factorizations - Arratia, Barbour, et al. - 1997
13	Coherent random allocations, and the Ewens-Pitman formula - Kerov - 2005
12	Non-self averaging effects in sum of random variables, in: On Three - Derrida - 1994
11	Statistical properties of randomly broken objects and of multivalley structures in disordered systems - Derrida, Flyvbjerg - 1987
4	Distribution of the Mean Value for Certain Random Measures - Tsilevich - 1997
3	Coagulation in nite systems - Lushnikov - 1978
1	Non-self-averaging e ects in sums of random variables, spin glasses, random maps and random walks - Derrida - 1994
1	cient statistics and extreme - Su - 1978