Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis
Autor: | Wenqi Duan, Zahid Khan, Adnan Khurshid, Muhammad Gulistan |
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Rok vydání: | 2021 |
Předmět: |
Multidisciplinary
Exponential distribution Article Subject General Computer Science Distribution (number theory) Mathematics::General Mathematics Generalization QA75.5-76.95 Interval (mathematics) Exponential function Sample size determination Electronic computers. Computer science Range (statistics) Applied mathematics Reliability (statistics) Mathematics |
Zdroj: | Complexity, Vol 2021 (2021) |
ISSN: | 1099-0526 1076-2787 |
Popis: | 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. |
Databáze: | OpenAIRE |
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