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Coalescents With Multiple Collisions (1999)

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by Jim Pitman
Venue:Ann. Probab
Citations:71 - 10 self
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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

1577 An Introduction to Probability Theory and Its Applications Volume I. 3rd edition - Feller - 1968
488 T.S.: A Bayesian analysis of some nonparametric problems - Ferguson - 1973
162 The two-parameter PoissonDirichlet distribution derived from a stable subordinator. Annals of Probability - Pitman, Yor - 1997
136 JFC: The coalescent - Kingman - 1982
101 Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists - Aldous - 1999
98 Exchangeability and related topics - Aldous - 1985
95 On the genealogies of large populations - Kingman - 1982
80 Discrete Multivariate Distributions - JOHNSON, KOTZ, et al. - 1997
78 Exchangeable and partially exchangeable random partitions. Probab. Theory Related Fields - Pitman - 1995
70 Brownian excursions, critical random graphs and the multiplicative coalescent - Aldous - 1997
64 Random discrete distributions - Kingman - 1975
60 Some developments of the Blackwell-MacQueen urn scheme - Pitman - 1996
55 Size-biased sampling of Poisson point processes and excursions - Perman, Pitman, et al. - 1992
53 Sampling theory of selectively neutral alleles - Ewens - 1972
53 The representation of partition structures - Kingman - 1978
49 The standard additive coalescent - Aldous, Pitman - 1998
47 On Ruelle’s probability cascades and an abstract cavity method - Bolthausen, Sznitman - 1998
42 Construction of Markovian coalescents - Evans, Pitman - 1998
36 Partition structures derived from Brownian motion and stable subordinators - Pitman - 1997
36 Line-of-descent and genealogical processes and their applications in population genetics models. Theor Popul Biol 26 - Tavaré - 1984
31 Random partitions in population genetics - Kingman - 1978
30 Random discrete distributions invariant under size-biased permutation - Pitman - 1996
26 A mathematical reformulation of Derrida’s - Ruelle - 1987
25 Tailfree and Neutral Random Probabilities and Their Posterior Distributions,” The Annals of Probability - Doksum - 1974
25 Exchangeability and the evolution of large populations - Kingman - 1982
23 Une extension multidimensionnelle de la loi de l’arc sinus - Barlow, Pitman, et al. - 1989
19 The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Probab. Theory Related Fields - Bertoin, Gall - 2000
17 Coagulation in Finite Systems - Lushnikov - 1977
17 Stochastic coalescence - Marcus - 1968
16 Sufficient statistics and extreme - Dynkin - 1978
15 Population Genetics Theory – the Past and the Future - Ewens - 1990
15 Random Processes - Rosenblatt - 1962
13 Coherent random allocations, and the Ewens-Pitman formula - Kerov - 2005
13 Random discrete distributions derived from self-similar random sets, Electron - Pitman, Yor - 1996
12 S.Tavare, Random combinatorial structures and prime factorizations, Notices of the AMS,44,No.8 - Arratia - 1997
11 The entrance boundary of the multiplicative coalescent - Aldous, Limic - 1998
11 On the relative lengths of excursions derived from a stable subordinator - Pitman, Yor - 1997
9 Non-self-averaging effects in sums of random variables, spin glasses, random maps and random walks - Derrida - 1994
7 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
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