rPD {PEkit} | R Documentation |
Random sampling from the Poisson-Dirichlet Distribution
Description
rPD samples randomly from the PD distribution with a given \psi
by simulating the Hoppe urn model.
Usage
rPD(n, psi)
Arguments
n |
number of observations. |
psi |
dispersal parameter. |
Details
Samples random values with a given \psi
from the Poisson-Dirichlet distribution by simulating the Hoppe urn model.
Value
Returns a vector with a sample of size n
from the Hoppe urn model with parameter \psi
.
References
Hoppe, F.M. The sampling theory of neutral alleles and an urn model in population genetics. J. Math. Biology 25, 123–159 (1987). <doi: 10.1007/BF00276386>.
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>.
Examples
## Get random sample from the PD distribution with different psi,
## and estimate the psi of the samples:
s1<-rPD(1000, 10)
s2<- rPD(1000, 50)
print(c(MLEp(abundance(s1)), MLEp(abundance(s2))))
[Package PEkit version 1.0.0.1000 Index]