F.M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. J. Math. Biol., vol. 25, n. 2, pp. 123--159, 1987. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Poisson-Kingman Partitions - Pitman (2002) (Correct)
.... element n 1 to the jth class whose current size is n j with probability n j (75) k, and assigning n 1 to a new class numbered k 1 with the remaining probability (76) For # = 0 and # 0 this is generalization of Polya s urn scheme developed by Blackwell McQueen [7] and Hoppe [21]. See [43, 45, 20] for consideration of more general prediction rules for exchangeable random partitions. The following calculation shows how to derive either of the two EPPF s (74) and (66) from the other. The argument also shows that the function p# (n 1 , defined by (66) satisfies the ....
F. M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. Journal of Mathematical Biology, 25:123 -- 159, 1987.
Poisson-Kingman Partitions - Pitman (Correct)
.... Gamma ff n (111) for 1 j k, and assigning n 1 to a new class numbered k 1 with the remaining probability P(k 1 j n 1 ; Delta Delta Delta ; n k ) kff n (112) For ff = 0 and 0 this is generalization of Polya s urn scheme developed by Blackwell McQueen [4] and Hoppe [14]. For ff = 1 2 and = 0 the above scheme generates Pi with the same distribution as Pi derived from the excursions of a Brownian motion, while the scheme with ff = 1 2 ; 1 2 generates Pi derived from excursions of a Brownian bridge. According to (86) for each Gamma 1 2 , the ....
F. M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. Journal of Mathematical Biology, 25:123 -- 159, 1987.
Some Developments of the Blackwell-MacQueen Urn Scheme - Pitman (1996) (1 citation) (Correct)
....are difficult to describe explicitly, there are some remarkably simple formulae involving this distribution, most notably the Ewens sampling formula [23, 25] Antoniak [3] derived the Ewens sampling formula from the Blackwell MacQueen description of sampling from a Dirichlet prior. Hoppe [35, 37] used the urn scheme to derive the simple form of the size biased random permutation of the pd distribution, which Ewens [24] termed the gem distribution, after Griffiths, Engen and McCloskey, who contributed to its development and application in the fields of genetics and ecology. Dirichlet ....
F. M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. Journal of Mathematical Biology, 25:123 -- 159, 1987.
The two-parameter Poisson-Dirichlet distribution derived from a .. - Pitman, Yor (1995) (16 citations) (Correct)
.... Delta Delta m n ) ff] k Gamma1;ff [ 1] n Gamma1 n Y j=1 ( 1 Gamma ff] j Gamma1 ) m j (177) See [48, 47, 45, 49] for further developments and applications of this formula. As a consequence of Proposition 49, the urn scheme for generating pd(0; studied by various authors [8, 26, 28, 14] also admits a two parameter generalization [48] whose simple form provides another characterization of the two parameter family [66] ....
F. M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. Journal of Mathematical Biology, 25:123 -- 159, 1987.
Markov Chains with Self-Interactions - Moral, Miclo (2002) (Correct)
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F.M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. J. Math. Biol., vol. 25, n. 2, pp. 123--159, 1987.
Partition structures derived from Brownian motion and stable.. - Pitman (1996) (2 citations) (Correct)
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F. M. Hoppe. The sampling theory of neutral alleles and an urn model in population genetics. Journal of Mathematical Biology, 25:123 -- 159, 1987.
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