Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis
The exponential distribution has always been prominent in various disciplines because of its wide range of applications. In this work, a generalization of the classical exponential distribution under a neutrosophic environment is scarcely presented. The mathematical properties of the neutrosophic ex...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5970613 |
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| author | Wen-Qi Duan Zahid Khan Muhammad Gulistan Adnan Khurshid |
| author_facet | Wen-Qi Duan Zahid Khan Muhammad Gulistan Adnan Khurshid |
| author_sort | Wen-Qi Duan |
| collection | DOAJ |
| description | The exponential distribution has always been prominent in various disciplines because of its wide range of applications. In this work, a generalization of the classical exponential distribution under a neutrosophic environment is scarcely presented. The mathematical properties of the neutrosophic exponential model are described in detail. The estimation of a neutrosophic parameter by the method of maximum likelihood is discussed and illustrated with examples. The suggested neutrosophic exponential distribution (NED) model involves the interval time it takes for certain particular events to occur. Thus, the proposed model may be the most widely used statistical distribution for the reliability problems. For conceptual understanding, a wide range of applications of the NED in reliability engineering is given, which indicates the circumstances under which the distribution is suitable. Furthermore, a simulation study has been conducted to assess the performance of the estimated neutrosophic parameter. Simulated results show that imprecise data with a larger sample size efficiently estimate the unknown neutrosophic parameter. Finally, a complex dataset on remission periods of cancer patients has been analyzed to identify the importance of the proposed model for real-world case studies. |
| format | Article |
| id | doaj-art-bd2e9db8eb13460ba354968535476d3f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-bd2e9db8eb13460ba354968535476d3f2025-02-03T01:24:48ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/59706135970613Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data AnalysisWen-Qi Duan0Zahid Khan1Muhammad Gulistan2Adnan Khurshid3School of Business, Taizhou University, Taizhou 318000, ChinaDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanSchool of Business, Taizhou University, Taizhou 318000, ChinaThe exponential distribution has always been prominent in various disciplines because of its wide range of applications. In this work, a generalization of the classical exponential distribution under a neutrosophic environment is scarcely presented. The mathematical properties of the neutrosophic exponential model are described in detail. The estimation of a neutrosophic parameter by the method of maximum likelihood is discussed and illustrated with examples. The suggested neutrosophic exponential distribution (NED) model involves the interval time it takes for certain particular events to occur. Thus, the proposed model may be the most widely used statistical distribution for the reliability problems. For conceptual understanding, a wide range of applications of the NED in reliability engineering is given, which indicates the circumstances under which the distribution is suitable. Furthermore, a simulation study has been conducted to assess the performance of the estimated neutrosophic parameter. Simulated results show that imprecise data with a larger sample size efficiently estimate the unknown neutrosophic parameter. Finally, a complex dataset on remission periods of cancer patients has been analyzed to identify the importance of the proposed model for real-world case studies.http://dx.doi.org/10.1155/2021/5970613 |
| spellingShingle | Wen-Qi Duan Zahid Khan Muhammad Gulistan Adnan Khurshid Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis Complexity |
| title | Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis |
| title_full | Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis |
| title_fullStr | Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis |
| title_full_unstemmed | Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis |
| title_short | Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis |
| title_sort | neutrosophic exponential distribution modeling and applications for complex data analysis |
| url | http://dx.doi.org/10.1155/2021/5970613 |
| work_keys_str_mv | AT wenqiduan neutrosophicexponentialdistributionmodelingandapplicationsforcomplexdataanalysis AT zahidkhan neutrosophicexponentialdistributionmodelingandapplicationsforcomplexdataanalysis AT muhammadgulistan neutrosophicexponentialdistributionmodelingandapplicationsforcomplexdataanalysis AT adnankhurshid neutrosophicexponentialdistributionmodelingandapplicationsforcomplexdataanalysis |