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Unbiased Entropy Estimator for Binary Sequences

https://doi.org/10.18255/1818-1015-2013-1-107-115

Abstract

A new class of metrics on a space of right-sided infinite sequences drawn from a binary alphabet was introduced.

About the Author

E. A. Timofeev
P.G. Demidov Yaroslavl State University
Russian Federation

д-р физ.-мат. наук, профессор кафедры теоретической информатики,

Sovetskaya str., 14, Yaroslavl, 150000, Russia



References

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3. Kaltchenko A., Timofeeva N. Entropy Estimators with Almost Sure Convergence and an O(n¯с) Variance // Advances in Mathematics of Communications. 2008. V. 2, №1. P. 1–13.

4. Kaltchenko A., Timofeeva N., Rate of convergence of the nearest neighbor entropy estimator // AEU – International Journal of Electronics and Communications. 2010. 64, №1. P. 75–79.

5. Timofeev E.A. Statistical Estimation of measure invariants // St. Petersburg Math. J. 2006. 17, №3. P. 527–551.

6. Timofeev E.A. Bias of a nonparametric entropy estimator for Markov measures // Journal of Mathematical Sciences. 2011. 176, №2. P. 255–269.


Review

For citations:


Timofeev E.A. Unbiased Entropy Estimator for Binary Sequences. Modeling and Analysis of Information Systems. 2013;20(1):107-115. (In Russ.) https://doi.org/10.18255/1818-1015-2013-1-107-115

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ISSN 1818-1015 (Print)
ISSN 2313-5417 (Online)