PEkit (version 1.0.0.1000)

rPD: 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.

Value

Returns a vector with a sample of size \(n\) from the Hoppe urn model with parameter \(\psi\).

Details

Samples random values with a given \(\psi\) from the Poisson-Dirichlet distribution by simulating the Hoppe urn model.

References

Hoppe, F.M. The sampling theory of neutral alleles and an urn model in population genetics. J. Math. Biology 25, 123<U+2013>159 (1987). <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, <10.1016/0040-5809(72)90035-4>.

Examples

# NOT RUN {
## 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))))

# }