Tsallis.sd {EntropyEstimation}

Tsallis.sd

Description

Returns the estimated asymptotic standard deviation for the Z estimator of Tsallis Entropy. Note that this is also the asymptotic standard deviation of the plug-in estimator. See Zhang and Grabchak (2014a) for details.

Usage

Tsallis.sd(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 Tsallis entropy. Must be a strictly positive real number. Not allowed to be 1, in that case use Entropy.sd instead.

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)
 Tsallis.sd(x,2)  
 
 data = rbinom(10,20,.5)
 counts = tabulate(as.factor(data))
 Tsallis.sd(counts,2)