Description Usage Arguments Details Value References Examples
View source: R/PD_distribution.R
Distribution function for the Poisson-Dirichlet distribution.
1 | dPD(abund, psi)
|
abund |
An abundance vector. |
psi |
Dispersal parameter ψ. Accepted input values are positive real numbers, "a" for absolute value ψ=1 by default, or "r" for relative value ψ=n, where n is the size of the input sample. |
Given an abundance vector abunds
, calculates the probability
of a data vector x
given by the Poisson-Dirichlet distribution. The higher the
dispersal parameter ψ, the higher the amount of distinct observed
species. In terms of the paintbox process, a high ψ increases the
size of the continuous part p_0 of the process, while a low ψ will increase
the size of the discrete parts p_{\neq 0}.
The probability of the Poisson-Dirichlet distribution for the input abundance vector, e.g. an exchangeable random partition, and a dispersal parameter ψ.
W.J. Ewens, The sampling theory of selectively neutral alleles, Theoretical Population Biology, Volume 3, Issue 1, 1972, Pages 87-112, ISSN 0040-5809, <doi: 10.1016/0040-5809(72)90035-4>.
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