Hill.z {EntropyEstimation} | R Documentation |
Hill.z
Description
Returns the Z estimator of Hill's diversity number. This is based on raising the Z estimator of Renyi's equivalent entropy to the 1/(r-1) power. When r=1 returns exp(H), where H is the Z estimator of Shannon's entropy. See Zhang and Grabchak (2014a) for details.
Usage
Hill.z(x, r)
Arguments
x |
Vector of counts. Must be integer valued. Each entry represents the number of observations of a distinct letter. |
r |
Order of Renyi's equivalent entropy this index is based on. Must be a strictly positive real number. |
Author(s)
Lijuan Cao and Michael Grabchak
References
Z. Zhang and M. Grabchak (2014a). Entropic representation and estimation of diversity indices. http://arxiv.org/abs/1403.3031.
Examples
x = c(1,3,7,4,8)
Hill.z(x,2)
data = rbinom(10,20,.5)
counts = tabulate(as.factor(data))
Hill.z(counts,2)
[Package EntropyEstimation version 1.2 Index]