منابع مشابه
The two-parameter generalization of Ewens’ random partition structure
where k = m1 + . . . + mn is the total number of parts, θ > 0 is a parameter of the distribution, and θ = θ(θ + 1) . . . (θ + n − 1). For background and applications to genetics see [11, 12, 13, 6, 5, 19]. This note presents a family of distributions Pn,θ,α for random partitions of n, with two parameters θ ≥ 0 and 0 ≤ α ≤ 1. For α = 0, θ > 0, Pn,θ,0 = Pn,θ as in (1). As indicated at the end of ...
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In this paper, we establish the cutoff phenomena for the discrete time infinite alleles Moran model. If M is the population size and μ is the mutation rate, we find a cutoff time of log(Mμ)/μ generations. The stationary distribution for this process in the case of sampling without replacement is the Ewens sampling formula. We show that the bound for the total variation distance from the generat...
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ژورنال
عنوان ژورنال: Statistical Science
سال: 2016
ISSN: 0883-4237
DOI: 10.1214/15-sts536