Ordinal Random Processes
Ordinal patterns have proven to be a valuable tool in many fields. Here, we address the need for theoretical models. A paradigmatic example shows that a model for frequencies of ordinal patterns can be determined without any numerical values. We specify the important concept of stationary order and...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/6/610 |
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| _version_ | 1850168233106079744 |
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| author | Christoph Bandt |
| author_facet | Christoph Bandt |
| author_sort | Christoph Bandt |
| collection | DOAJ |
| description | Ordinal patterns have proven to be a valuable tool in many fields. Here, we address the need for theoretical models. A paradigmatic example shows that a model for frequencies of ordinal patterns can be determined without any numerical values. We specify the important concept of stationary order and the fundamental problems to be solved in order to establish a genuine statistical methodology for ordinal time series. |
| format | Article |
| id | doaj-art-a2bc50ad01014c18866b404fc346795c |
| institution | OA Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-a2bc50ad01014c18866b404fc346795c2025-08-20T02:21:01ZengMDPI AGEntropy1099-43002025-06-0127661010.3390/e27060610Ordinal Random ProcessesChristoph Bandt0Institute of Mathematics, University of Greifswald, 17487 Greifswald, GermanyOrdinal patterns have proven to be a valuable tool in many fields. Here, we address the need for theoretical models. A paradigmatic example shows that a model for frequencies of ordinal patterns can be determined without any numerical values. We specify the important concept of stationary order and the fundamental problems to be solved in order to establish a genuine statistical methodology for ordinal time series.https://www.mdpi.com/1099-4300/27/6/610ordinal patternstochastic processtime seriespermutation entropy |
| spellingShingle | Christoph Bandt Ordinal Random Processes Entropy ordinal pattern stochastic process time series permutation entropy |
| title | Ordinal Random Processes |
| title_full | Ordinal Random Processes |
| title_fullStr | Ordinal Random Processes |
| title_full_unstemmed | Ordinal Random Processes |
| title_short | Ordinal Random Processes |
| title_sort | ordinal random processes |
| topic | ordinal pattern stochastic process time series permutation entropy |
| url | https://www.mdpi.com/1099-4300/27/6/610 |
| work_keys_str_mv | AT christophbandt ordinalrandomprocesses |