Balls in Sequence Spaces
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...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2015-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/22 |
| _version_ | 1826558961176805376 |
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| author | E. A. Timofeev |
| author_facet | E. A. Timofeev |
| author_sort | E. A. Timofeev |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T02:24:44Z |
| format | Article |
| id | doaj.art-42ee521e9e83451d94a871d238d09606 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2025-03-14T08:52:48Z |
| publishDate | 2015-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-42ee521e9e83451d94a871d238d096062025-03-02T12:46:56ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172015-02-0119210911410.18255/1818-1015-2012-2-109-11416Balls in Sequence SpacesE. A. Timofeev0Ярославский государственный университет им. П.Г. ДемидоваWe 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.https://www.mais-journal.ru/jour/article/view/22entropynonparametric statisticballbernoulli's measure |
| spellingShingle | E. A. Timofeev Balls in Sequence Spaces Моделирование и анализ информационных систем entropy nonparametric statistic ball bernoulli's measure |
| title | Balls in Sequence Spaces |
| title_full | Balls in Sequence Spaces |
| title_fullStr | Balls in Sequence Spaces |
| title_full_unstemmed | Balls in Sequence Spaces |
| title_short | Balls in Sequence Spaces |
| title_sort | balls in sequence spaces |
| topic | entropy nonparametric statistic ball bernoulli's measure |
| url | https://www.mais-journal.ru/jour/article/view/22 |
| work_keys_str_mv | AT eatimofeev ballsinsequencespaces |