دورية أكاديمية
Shannon Entropy and Herfindahl-Hirschman Index as Team's Performance and Competitive Balance Indicators in Cyclist Multi-Stage Races.
| العنوان: | Shannon Entropy and Herfindahl-Hirschman Index as Team's Performance and Competitive Balance Indicators in Cyclist Multi-Stage Races. |
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| المؤلفون: | Ausloos M; School of Business, University of Leicester, Brookfield, Leicester LE2 1RQ, UK.; Group of Researchers Applying Physics in Economy and Sociology (GRAPES), Beauvallon, Rue de la Belle Jardinière, 483/0021 Sart Tilman, Angleur, B-4031 Liège, Belgium. |
| المصدر: | Entropy (Basel, Switzerland) [Entropy (Basel)] 2023 Jun 19; Vol. 25 (6). Date of Electronic Publication: 2023 Jun 19. |
| نوع المنشور: | Journal Article |
| اللغة: | English |
| بيانات الدورية: | Publisher: MDPI Country of Publication: Switzerland NLM ID: 101243874 Publication Model: Electronic Cited Medium: Internet ISSN: 1099-4300 (Electronic) Linking ISSN: 10994300 NLM ISO Abbreviation: Entropy (Basel) Subsets: PubMed not MEDLINE |
| أسماء مطبوعة: | Original Publication: Basel, Switzerland : MDPI, 1999- |
| مستخلص: | It seems that one cannot find many papers relating entropy to sport competitions. Thus, in this paper, I use (i) the Shannon intrinsic entropy ( S ) as an indicator of "teams sporting value" (or "competition performance") and (ii) the Herfindahl-Hirschman index (HHi) as a "teams competitive balance" indicator, in the case of (professional) cyclist multi-stage races. The 2022 Tour de France and 2023 Tour of Oman are used for numerical illustrations and discussion. The numerical values are obtained from classical and and new ranking indices which measure the teams "final time", on one hand, and "final place", on the other hand, based on the "best three" riders in each stage, but also the corresponding times and places throughout the race, for these finishing riders. The analysis data demonstrate that the constraint, "only the finishing riders count", makes much sense for obtaining a more objective measure of "team value" and team performance", at the end of a multi-stage race. A graphical analysis allows us to distinguish various team levels, each exhibiting a Feller-Pareto distribution, thereby indicating self-organized processes. In so doing, one hopefully better relates objective scientific measures to sport team competitions. Moreover, this analysis proposes some paths to elaborate on forecasting through standard probability concepts. |
| References: | Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062803. (PMID: 25019829) J Sports Sci. 2014 Dec;32(20):1888-1896. (PMID: 25356995) Entropy (Basel). 2018 Feb 20;20(2):. (PMID: 33265225) |
| فهرسة مساهمة: | Keywords: Herfindahl-Hirschman index; Shannon intrinsic entropy; Tour de France; Tour of Oman; competitive balance; professional cyclist races; teams ranking |
| تواريخ الأحداث: | Date Created: 20230628 Latest Revision: 20230701 |
| رمز التحديث: | 20230701 |
| مُعرف محوري في PubMed: | PMC10297037 |
| DOI: | 10.3390/e25060955 |
| PMID: | 37372299 |
| قاعدة البيانات: | MEDLINE |
Full Text Finder | تدمد: | 1099-4300 |
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| DOI: | 10.3390/e25060955 |