A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations
We propose a trigonometric generalizer/generator of distributions utilizing the quantile function of modified standard Cauchy distribution and construct a logistic-based new G-class disbursing cotangent function. Significant mathematical characteristics and special models are derived. New mathematic...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7091581 |
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| author | Zafar Mahmood Hazar A. Khogeer Eslam Hussam Hafez Md. Moyazzem Hossain |
| author_facet | Zafar Mahmood Hazar A. Khogeer Eslam Hussam Hafez Md. Moyazzem Hossain |
| author_sort | Zafar Mahmood |
| collection | DOAJ |
| description | We propose a trigonometric generalizer/generator of distributions utilizing the quantile function of modified standard Cauchy distribution and construct a logistic-based new G-class disbursing cotangent function. Significant mathematical characteristics and special models are derived. New mathematical transformations and extended models are also proposed. A two-parameter model logistic cotangent Weibull (LCW) is developed and discussed in detail. The beauty and importance of the proposed model are that its hazard rate exhibits all monotone and non-monotone shapes while the density exhibits unimodal and bimodal (symmetrical, right-skewed, and decreasing) shapes. For parametric estimation, the maximum likelihood approach is used, and simulation analysis is performed to ensure that the estimates are asymptotic. The importance of the proposed trigonometric generalizer, G class, and model is proved via two applications focused on survival and failure datasets whose results attested the distinct better fit, wider flexibility, and greater capability than existing and well-known competing models. The authors thought that the suggested class and models would appeal to a broader audience of professionals working in reliability analysis, actuarial and financial sciences, and lifetime data and analysis. |
| format | Article |
| id | doaj-art-8179a20f2a1948b6bafafd45789c66c7 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8179a20f2a1948b6bafafd45789c66c72025-02-03T01:08:46ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7091581A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and SimulationsZafar Mahmood0Hazar A. Khogeer1Eslam Hussam Hafez2Md. Moyazzem Hossain3Government Associate CollegeDepartment of Mathematical Sciences, College of Applied SciencesDepartment of MathematicsDepartment of StatisticsWe propose a trigonometric generalizer/generator of distributions utilizing the quantile function of modified standard Cauchy distribution and construct a logistic-based new G-class disbursing cotangent function. Significant mathematical characteristics and special models are derived. New mathematical transformations and extended models are also proposed. A two-parameter model logistic cotangent Weibull (LCW) is developed and discussed in detail. The beauty and importance of the proposed model are that its hazard rate exhibits all monotone and non-monotone shapes while the density exhibits unimodal and bimodal (symmetrical, right-skewed, and decreasing) shapes. For parametric estimation, the maximum likelihood approach is used, and simulation analysis is performed to ensure that the estimates are asymptotic. The importance of the proposed trigonometric generalizer, G class, and model is proved via two applications focused on survival and failure datasets whose results attested the distinct better fit, wider flexibility, and greater capability than existing and well-known competing models. The authors thought that the suggested class and models would appeal to a broader audience of professionals working in reliability analysis, actuarial and financial sciences, and lifetime data and analysis.http://dx.doi.org/10.1155/2022/7091581 |
| spellingShingle | Zafar Mahmood Hazar A. Khogeer Eslam Hussam Hafez Md. Moyazzem Hossain A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations Journal of Mathematics |
| title | A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations |
| title_full | A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations |
| title_fullStr | A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations |
| title_full_unstemmed | A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations |
| title_short | A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations |
| title_sort | logistic trigonometric generalized class of distribution characteristics applications and simulations |
| url | http://dx.doi.org/10.1155/2022/7091581 |
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