Returns the estimated asymptotic standard deviation for the Z estimator of Shannon's Entropy. Note that this is also the asymptotic standard deviation of the plug-in estimator. See Zhang and Grabchak (2014a) for details.
Usage
Entropy.sd(x)
Arguments
x
Vector of counts. Must be integer valued. Each entry represents the number of observations of a distinct letter.
Author
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.
x = c(1,3,7,4,8) # vector of counts Entropy.sd(x) # Estimated standard deviation data = rbinom(10,20,.5)
counts = tabulate(as.factor(data))
Entropy.sd(counts)