The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry
This paper studies a simple skewness measure to detect symmetry and asymmetry in samples. The statistic can be obviously applied with only three short central tendencies; i.e., the first and ninth deciles, and the median. The strength of the statistic to find symmetry and asymmetry is studied by emp...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-02-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/12/2/296 |
| _version_ | 1817987773148168192 |
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| author | Mohammad Reza Mahmoudi Roya Nasirzadeh Dumitru Baleanu Kim-Hung Pho |
| author_facet | Mohammad Reza Mahmoudi Roya Nasirzadeh Dumitru Baleanu Kim-Hung Pho |
| author_sort | Mohammad Reza Mahmoudi |
| collection | DOAJ |
| description | This paper studies a simple skewness measure to detect symmetry and asymmetry in samples. The statistic can be obviously applied with only three short central tendencies; i.e., the first and ninth deciles, and the median. The strength of the statistic to find symmetry and asymmetry is studied by employing numerous Monte Carlo simulations and is compared with some alternative measures by applying some simulation studies. The results show that the performance of this statistic is generally good in the simulation. |
| first_indexed | 2024-04-14T00:25:59Z |
| format | Article |
| id | doaj.art-d2ad3203d1c248bcad360c596fb9d5d0 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T00:25:59Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-d2ad3203d1c248bcad360c596fb9d5d02022-12-22T02:22:45ZengMDPI AGSymmetry2073-89942020-02-0112229610.3390/sym12020296sym12020296The Properties of a Decile-Based Statistic to Measure Symmetry and AsymmetryMohammad Reza Mahmoudi0Roya Nasirzadeh1Dumitru Baleanu2Kim-Hung Pho3Institute of Research and Development, Duy Tan University, Da Nang 550000, VietnamDepartment of Statistics, Faculty of Science, Fasa University, Fasa, Fars 7461686131, IranDepartment of Mathematics, Faculty of Art and Sciences, Cankaya University, Ankara 06530, TurkeyFractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, VietnamThis paper studies a simple skewness measure to detect symmetry and asymmetry in samples. The statistic can be obviously applied with only three short central tendencies; i.e., the first and ninth deciles, and the median. The strength of the statistic to find symmetry and asymmetry is studied by employing numerous Monte Carlo simulations and is compared with some alternative measures by applying some simulation studies. The results show that the performance of this statistic is generally good in the simulation.https://www.mdpi.com/2073-8994/12/2/296symmetryasymmetrymeasure of skewnessdecilemonte carlo algorithm |
| spellingShingle | Mohammad Reza Mahmoudi Roya Nasirzadeh Dumitru Baleanu Kim-Hung Pho The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry Symmetry symmetry asymmetry measure of skewness decile monte carlo algorithm |
| title | The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry |
| title_full | The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry |
| title_fullStr | The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry |
| title_full_unstemmed | The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry |
| title_short | The Properties of a Decile-Based Statistic to Measure Symmetry and Asymmetry |
| title_sort | properties of a decile based statistic to measure symmetry and asymmetry |
| topic | symmetry asymmetry measure of skewness decile monte carlo algorithm |
| url | https://www.mdpi.com/2073-8994/12/2/296 |
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