A New Sine Family of Generalized Distributions: Statistical Inference with Applications
In this article, we extensively study a family of distributions using the trigonometric function. We add an extra parameter to the sine transformation family and name it the alpha-sine-G family of distributions. Some important functional forms and properties of the family are provided in a general f...
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| Format: | Article |
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MDPI AG
2023-07-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/28/4/83 |
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| author | SidAhmed Benchiha Laxmi Prasad Sapkota Aned Al Mutairi Vijay Kumar Rana H. Khashab Ahmed M. Gemeay Mohammed Elgarhy Said G. Nassr |
| author_facet | SidAhmed Benchiha Laxmi Prasad Sapkota Aned Al Mutairi Vijay Kumar Rana H. Khashab Ahmed M. Gemeay Mohammed Elgarhy Said G. Nassr |
| author_sort | SidAhmed Benchiha |
| collection | DOAJ |
| description | In this article, we extensively study a family of distributions using the trigonometric function. We add an extra parameter to the sine transformation family and name it the alpha-sine-G family of distributions. Some important functional forms and properties of the family are provided in a general form. A specific sub-model alpha-sine Weibull of this family is also introduced using the Weibull distribution as a parent distribution and studied deeply. The statistical properties of this new distribution are investigated and intended parameters are estimated using the maximum likelihood, maximum product of spacings, least square, weighted least square, and minimum distance methods. For further justification of these estimates, a simulation experiment is carried out. Two real data sets are analyzed to show the suggested model’s application. The suggested model performed well compares to some existing models considered in the study. |
| first_indexed | 2024-03-10T23:45:52Z |
| format | Article |
| id | doaj.art-b0560826081e4b27855a7fb07ef6d562 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-10T23:45:52Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
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| series | Mathematical and Computational Applications |
| spelling | doaj.art-b0560826081e4b27855a7fb07ef6d5622023-11-19T02:04:48ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472023-07-012848310.3390/mca28040083A New Sine Family of Generalized Distributions: Statistical Inference with ApplicationsSidAhmed Benchiha0Laxmi Prasad Sapkota1Aned Al Mutairi2Vijay Kumar3Rana H. Khashab4Ahmed M. Gemeay5Mohammed Elgarhy6Said G. Nassr7Laboratory of Statistics and Stochastic Processes, University of Djillali Liabes, BP 89, Sidi Bel Abbes 22000, AlgeriaDepartment of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur 273001, IndiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi ArabiaDepartment of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur 273001, IndiaMathematical Sciences Department, College of Applied Sciences, Umm Al-Qura University, Makkah 21961, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptMathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62521, EgyptDepartment of Statistics and Insurance, Faculty of Commerce, Arish University, Al-Arish 45511, EgyptIn this article, we extensively study a family of distributions using the trigonometric function. We add an extra parameter to the sine transformation family and name it the alpha-sine-G family of distributions. Some important functional forms and properties of the family are provided in a general form. A specific sub-model alpha-sine Weibull of this family is also introduced using the Weibull distribution as a parent distribution and studied deeply. The statistical properties of this new distribution are investigated and intended parameters are estimated using the maximum likelihood, maximum product of spacings, least square, weighted least square, and minimum distance methods. For further justification of these estimates, a simulation experiment is carried out. Two real data sets are analyzed to show the suggested model’s application. The suggested model performed well compares to some existing models considered in the study.https://www.mdpi.com/2297-8747/28/4/83sine functionWeibull distributionmomentsestimation methodshazard function |
| spellingShingle | SidAhmed Benchiha Laxmi Prasad Sapkota Aned Al Mutairi Vijay Kumar Rana H. Khashab Ahmed M. Gemeay Mohammed Elgarhy Said G. Nassr A New Sine Family of Generalized Distributions: Statistical Inference with Applications Mathematical and Computational Applications sine function Weibull distribution moments estimation methods hazard function |
| title | A New Sine Family of Generalized Distributions: Statistical Inference with Applications |
| title_full | A New Sine Family of Generalized Distributions: Statistical Inference with Applications |
| title_fullStr | A New Sine Family of Generalized Distributions: Statistical Inference with Applications |
| title_full_unstemmed | A New Sine Family of Generalized Distributions: Statistical Inference with Applications |
| title_short | A New Sine Family of Generalized Distributions: Statistical Inference with Applications |
| title_sort | new sine family of generalized distributions statistical inference with applications |
| topic | sine function Weibull distribution moments estimation methods hazard function |
| url | https://www.mdpi.com/2297-8747/28/4/83 |
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