entropy.ChaoShen estimates the Shannon entropy H of the random variable Y
from the corresponding observed counts
y using the method of Chao and Shen (2003).
vector of counts.
the unit in which entropy is measured.
The default is "nats" (natural units). For
computing entropy in "bits" set
The Chao-Shen entropy estimator (2003) is a Horvitz-Thompson (1952) estimator applied to the problem of entropy estimation, with additional coverage correction as proposed by Good (1953).
Note that the Chao-Shen estimator is not a plug-in estimator, hence there are no explicit underlying bin frequencies.
entropy.ChaoShen returns an estimate of the Shannon entropy.
Korbinian Strimmer (http://strimmerlab.org).
Chao, A., and T.-J. Shen. 2003. Nonparametric estimation of Shannon's index of diversity when there are unseen species in sample. Environ. Ecol. Stat. 10:429-443.
Good, I. J. 1953. The population frequencies of species and the estimation of population parameters. Biometrika 40:237-264.
Horvitz, D.G., and D. J. Thompson. 1952. A generalization of sampling without replacement from a finite universe. J. Am. Stat. Assoc. 47:663-685.
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