New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry
This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution’s distinct structural traits h...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-07-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823003277 |
| _version_ | 1797804027091615744 |
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| author | Aijaz Ahmad Najwan Alsadat Mintodê Nicodème Atchadé S. Qurat ul Ain Ahmed M. Gemeay Mohammed Amine Meraou Ehab M. Almetwally Md. Moyazzem Hossain Eslam Hussam |
| author_facet | Aijaz Ahmad Najwan Alsadat Mintodê Nicodème Atchadé S. Qurat ul Ain Ahmed M. Gemeay Mohammed Amine Meraou Ehab M. Almetwally Md. Moyazzem Hossain Eslam Hussam |
| author_sort | Aijaz Ahmad |
| collection | DOAJ |
| description | This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution’s distinct structural traits have been examined. The behaviors of the distributional functions of the proposed model are depicted in several figures. The maximum likelihood estimation procedure is employed to estimate the specified distribution parameters. A simulation study was carried out to examine and evaluate the behavior of the estimators. Moreover, the efficacy of the specified distribution is supported by realistic data sets pertaining to engineering science. |
| first_indexed | 2024-03-13T05:30:56Z |
| format | Article |
| id | doaj.art-dd89266d9eb24c12a16cb2684d5a9ebc |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-13T05:30:56Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-dd89266d9eb24c12a16cb2684d5a9ebc2023-06-15T04:54:18ZengElsevierAlexandria Engineering Journal1110-01682023-07-0173415426New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industryAijaz Ahmad0Najwan Alsadat1Mintodê Nicodème Atchadé2S. Qurat ul Ain3Ahmed M. Gemeay4Mohammed Amine Meraou5Ehab M. Almetwally6Md. Moyazzem Hossain7Eslam Hussam8Department of Mathematics, Bhagwant University, Ajmer, IndiaDepartment of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi ArabiaNational University of Sciences, Technologies, Engineering and Mathematics, Abomey, BeninDepartment of Mathematics, Bhagwant University, Ajmer, IndiaDepartment of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptLaboratory of Statistics and Stochastic Processes, University of Djillali Liabes, BP 89, Sidi Bel Abbes 22000, AlgeriaFaculty of Business Administration, Delta University for Science and Technology, Gamasa 11152, EgyptSchool of Mathematics, Statistics & Physics, Newcastle University, Newcastle upon Tyne, United KingdomDepartment of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt; Corresponding author.This study focuses on a novel family of distributions inspired by the hyperbolic sine function. The Rayleigh distribution is the base model for the newly formed family of distributions known as the new hyperbolic Sine-Rayleigh distribution. The recommended distribution’s distinct structural traits have been examined. The behaviors of the distributional functions of the proposed model are depicted in several figures. The maximum likelihood estimation procedure is employed to estimate the specified distribution parameters. A simulation study was carried out to examine and evaluate the behavior of the estimators. Moreover, the efficacy of the specified distribution is supported by realistic data sets pertaining to engineering science.http://www.sciencedirect.com/science/article/pii/S1110016823003277Hyperbolic sine functionRayleigh distributionMomentsAgeing indicatorsSimulationMaximum likelihood estimation |
| spellingShingle | Aijaz Ahmad Najwan Alsadat Mintodê Nicodème Atchadé S. Qurat ul Ain Ahmed M. Gemeay Mohammed Amine Meraou Ehab M. Almetwally Md. Moyazzem Hossain Eslam Hussam New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry Alexandria Engineering Journal Hyperbolic sine function Rayleigh distribution Moments Ageing indicators Simulation Maximum likelihood estimation |
| title | New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry |
| title_full | New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry |
| title_fullStr | New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry |
| title_full_unstemmed | New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry |
| title_short | New hyperbolic sine-generator with an example of Rayleigh distribution: Simulation and data analysis in industry |
| title_sort | new hyperbolic sine generator with an example of rayleigh distribution simulation and data analysis in industry |
| topic | Hyperbolic sine function Rayleigh distribution Moments Ageing indicators Simulation Maximum likelihood estimation |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823003277 |
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