ArticleEntropy (Basel, Switzerland)2022
On Generalized Schürmann Entropy Estimators.
Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Language-like efficiency and structure in house finch song.Proceedings. Biological sciences · 2024Article
- Entropy Estimators for Markovian Sequences: A Comparative Analysis.Entropy (Basel, Switzerland) · 2024Article
- Systematic analysis of drug combinations against Gram-positive bacteria.Nature microbiology · 2023Article
- Mathematical Characterization of Private and Public Immune Receptor Sequences.Bulletin of mathematical biology · 2023Article
- Efficiency of the Moscow Stock Exchange before 2022.Entropy (Basel, Switzerland) · 2022Article
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1 author.
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Abstract
We present a new class of estimators of Shannon entropy for severely undersampled discrete 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 believed to be impossible. We present also detailed numerical tests, where we compare them with other recent estimators and with exact results, and point out a clash with Bayesian estimators for mutual information.
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