Description Usage Arguments Details Value References Examples
View source: R/Parameter_estimation_and_hypothesis_testing.R
Numerically searches for the MLE of ψ given an abundance vector with a binary search algorithm.
1 | MLEp(abund)
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abund |
An abundance vector. |
Numerically searches for the MLE of ψ as the root of equation
K=∑_{i=1}^nψ/(ψ+i-1),
where K is the observed number of different species in the sample. The right side of the equation is monotonically increasing when ψ>0, so a binary search is used to find the root. An accepted ψ sets value of the right side of the equation within R's smallest possible value of the actual value of K.
The MLE of 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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