EntropyEstimation (version 1.2.1)

Entropy.z: Entropy.z

Description

Returns the Z estimator of Shannon's Entropy. This estimator has exponentially decaying bias. See Zhang (2012), Zhang (2013), and Zhang and Grabchak (2014a) for details.

Usage

Entropy.z(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 (2012). Entropy estimation in Turing's' perspective. Neural Computation 24(5), 1368--1389.

Z. Zhang (2013). Asymptotic normality of an entropy estimator with asymptotically decaying bias. IEEE Transactions on Information Theory 59(1), 504--508.

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) 
 Entropy.z(x)  
 
 data = rbinom(10,20,.5)
 counts = tabulate(as.factor(data))
 Entropy.z(counts)