Balls in sequence spaces

Name: Balls in sequence spaces
Creator: E. A. Timofeev
Keywords: непараметрическая оценка, энтропия, bernoulli's measure, ball, nonparametric statistic, Information technology, 02 engineering and technology, T58.5-58.64, 01 natural sciences, мера Бернулли

E. A. Timofeev

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Article . 2015 . Peer-reviewed

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Моделирование и анализ информационных систем

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Моделирование и анализ информационных систем

Article . 2015

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Моделирование и анализ информационных систем

Article . 2012

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Automatic Control and Computer Sciences

Article . 2013 . Peer-reviewed

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https://dx.doi.org/10.3103/s01...

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Balls in sequence spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2013 English Publisher:Allerton PressJournal:Automatic Control and Computer Sciences, volume 47, pages 495-499 (issn: 0146-4116, eissn: 1558-108X,

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Authors: E. A. Timofeev;

doi: 10.3103/s0146411613070158 , 10.18255/1818-1015-2012-2-109-114

Balls in sequence spaces

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Abstract

We introduce a new metric on a space of right-sided infinite sequences drawn from a finite alphabet. Emerging from a problem of entropy estimation of a discrete stationary ergodic process, the metric is important on its own part and exhibits some interesting properties. For example, the measure of a ball is discontinuous at every binary rational value of log r, where r is the radius.

Related Organizations

Yaroslavl State University
Russian Federation

Keywords

непараметрическая оценка, энтропия, bernoulli's measure, ball, nonparametric statistic, Information technology, T58.5-58.64, мера Бернулли, шар, entropy

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