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000908873 1001_ $$0P:(DE-Juel1)136887$$aGrassberger, Peter$$b0$$eCorresponding author
000908873 245__ $$aOn Generalized Schürmann Entropy Estimators
000908873 260__ $$aBasel$$bMDPI$$c2022
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000908873 520__ $$aWe present a new class of estimators of Shannon entropy for severely undersampleddiscrete distributions. It is based on a generalization of an estimator proposed by T. Schürmann,which itself is a generalization of an estimator proposed by myself.For a special set of parameters,they are completely free of bias and have a finite variance, something which is widely believedto be impossible. We present also detailed numerical tests, where we compare them with otherrecent estimators and with exact results, and point out a clash with Bayesian estimators for mutualinformation.
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000908873 773__ $$0PERI:(DE-600)2014734-X$$a10.3390/e24050680$$gVol. 24, no. 5, p. 680 -$$n5$$p680 -$$tEntropy$$v24$$x1099-4300$$y2022
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000908873 9141_ $$y2022
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