A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering
In the examination of real-life situations, the application of probability distributions is often crucial for statistical analysis of the real-life scenarios. Many models based on probability have been utilized in disciplines such as music education, music engineering, and other music-related areas....
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824012614 |
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| author | Hualong Zhong Yuanjun Xue Tmader Alballa Wafa F. Alfwzan Somayah Abdualziz Alhabeeb Hamiden Abd El-Wahed Khalifa |
| author_facet | Hualong Zhong Yuanjun Xue Tmader Alballa Wafa F. Alfwzan Somayah Abdualziz Alhabeeb Hamiden Abd El-Wahed Khalifa |
| author_sort | Hualong Zhong |
| collection | DOAJ |
| description | In the examination of real-life situations, the application of probability distributions is often crucial for statistical analysis of the real-life scenarios. Many models based on probability have been utilized in disciplines such as music education, music engineering, and other music-related areas. Hence, acknowledging the significance of probability-based approaches, this article introduces an innovative probability model known as a new generalized Rayleigh distribution. The suggested model is established on merging the generalized Rayleigh distribution with a prominent weighted probabilistic method. The mathematical properties, specifically the quartile-based features of the novel generalized Rayleigh distribution, are investigated. Moreover, we outline the derivation of the point estimators for the unknown parameters of the new model. A thorough simulation study is also conducted to examine the performances of these point estimators. Within the music industry, specifically in music education and music engineering, we examine the practical implications of the new generalized Rayleigh distribution. We observe that it offers a superior fit when contrasted with other distributions. Our findings demonstrate that the new distribution is a inclusion to the group of probability distributions that can be applied in music engineering and other closely connected engineering fields for the statistical analysis of real-life events. |
| format | Article |
| id | doaj-art-3b12c1b9195c464d8a50311dca6414be |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-3b12c1b9195c464d8a50311dca6414be2025-01-29T05:00:10ZengElsevierAlexandria Engineering Journal1110-01682025-01-01112461473A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineeringHualong Zhong0Yuanjun Xue1Tmader Alballa2Wafa F. Alfwzan3Somayah Abdualziz Alhabeeb4Hamiden Abd El-Wahed Khalifa5School of Music and Dance, Weifang University, Weifang 261061, Shandong, ChinaSchool of Music, Huaibei Normal University, Huaibei 235000, Anhui, China; Corresponding author.Department of Mathematics, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaDepartment of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi ArabiaIn the examination of real-life situations, the application of probability distributions is often crucial for statistical analysis of the real-life scenarios. Many models based on probability have been utilized in disciplines such as music education, music engineering, and other music-related areas. Hence, acknowledging the significance of probability-based approaches, this article introduces an innovative probability model known as a new generalized Rayleigh distribution. The suggested model is established on merging the generalized Rayleigh distribution with a prominent weighted probabilistic method. The mathematical properties, specifically the quartile-based features of the novel generalized Rayleigh distribution, are investigated. Moreover, we outline the derivation of the point estimators for the unknown parameters of the new model. A thorough simulation study is also conducted to examine the performances of these point estimators. Within the music industry, specifically in music education and music engineering, we examine the practical implications of the new generalized Rayleigh distribution. We observe that it offers a superior fit when contrasted with other distributions. Our findings demonstrate that the new distribution is a inclusion to the group of probability distributions that can be applied in music engineering and other closely connected engineering fields for the statistical analysis of real-life events.http://www.sciencedirect.com/science/article/pii/S1110016824012614Generalized Rayleigh distributionEstimationSimulationMusic educationMusic engineeringData set |
| spellingShingle | Hualong Zhong Yuanjun Xue Tmader Alballa Wafa F. Alfwzan Somayah Abdualziz Alhabeeb Hamiden Abd El-Wahed Khalifa A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering Alexandria Engineering Journal Generalized Rayleigh distribution Estimation Simulation Music education Music engineering Data set |
| title | A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering |
| title_full | A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering |
| title_fullStr | A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering |
| title_full_unstemmed | A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering |
| title_short | A new probabilistic model with properties and Monte Carlo simulation: Its explorations in dance education and music engineering |
| title_sort | new probabilistic model with properties and monte carlo simulation its explorations in dance education and music engineering |
| topic | Generalized Rayleigh distribution Estimation Simulation Music education Music engineering Data set |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824012614 |
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