Statistical Characterization of the Neutrosophic Moyal Distribution
The Moyal distribution is widely utilized in various fields due to its effectiveness in modeling heavy-tailed processes, such as ionization losses and certain risk assessments. In this work, we present a neutrosophic version of the Moyal distribution that extends the classical Moyal distribution whi...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-05-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/55StatisticalCharacterization.pdf |
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| author | Mansour F.Yassen Adnan Amin |
| author_facet | Mansour F.Yassen Adnan Amin |
| author_sort | Mansour F.Yassen |
| collection | DOAJ |
| description | The Moyal distribution is widely utilized in various fields due to its effectiveness in modeling heavy-tailed processes, such as ionization losses and certain risk assessments. In this work, we present a neutrosophic version of the Moyal distribution that extends the classical Moyal distribution while incorporating uncertainty and imprecision associated with its parameters. To better explore the neutrosophic structure, we provide the detailed derivation of some essential mathematical characteristics concerning all the properties that this distribution possesses. The proposed neutrosophic Moyal (NM) model is the one that allows it to work very well in situations where data is vague or undetermined. The proposed neutrosophic model can be effectively adopted when the Moyal distribution parameters are known and lie in the range or interval. We also develop the quantile function of the proposed model under an uncertain environment. A simulation study has been carried out to assess the adequacy of neutrosophic quantile function. Numerical results demonstrate that quantile function is quite efficient in terms of generating neutrosophic random data from the proposed model. |
| format | Article |
| id | doaj-art-57705cd293234ee9aaabf10e0ac2f812 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-57705cd293234ee9aaabf10e0ac2f8122025-08-25T08:54:03ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-05-018286287210.5281/zenodo.15080684Statistical Characterization of the Neutrosophic Moyal DistributionMansour F.Yassen Adnan AminThe Moyal distribution is widely utilized in various fields due to its effectiveness in modeling heavy-tailed processes, such as ionization losses and certain risk assessments. In this work, we present a neutrosophic version of the Moyal distribution that extends the classical Moyal distribution while incorporating uncertainty and imprecision associated with its parameters. To better explore the neutrosophic structure, we provide the detailed derivation of some essential mathematical characteristics concerning all the properties that this distribution possesses. The proposed neutrosophic Moyal (NM) model is the one that allows it to work very well in situations where data is vague or undetermined. The proposed neutrosophic model can be effectively adopted when the Moyal distribution parameters are known and lie in the range or interval. We also develop the quantile function of the proposed model under an uncertain environment. A simulation study has been carried out to assess the adequacy of neutrosophic quantile function. Numerical results demonstrate that quantile function is quite efficient in terms of generating neutrosophic random data from the proposed model. https://fs.unm.edu/NSS/55StatisticalCharacterization.pdfmoyal modelneutrosophic probabilityneutrosophic distributionestimationsimulation |
| spellingShingle | Mansour F.Yassen Adnan Amin Statistical Characterization of the Neutrosophic Moyal Distribution Neutrosophic Sets and Systems moyal model neutrosophic probability neutrosophic distribution estimation simulation |
| title | Statistical Characterization of the Neutrosophic Moyal Distribution |
| title_full | Statistical Characterization of the Neutrosophic Moyal Distribution |
| title_fullStr | Statistical Characterization of the Neutrosophic Moyal Distribution |
| title_full_unstemmed | Statistical Characterization of the Neutrosophic Moyal Distribution |
| title_short | Statistical Characterization of the Neutrosophic Moyal Distribution |
| title_sort | statistical characterization of the neutrosophic moyal distribution |
| topic | moyal model neutrosophic probability neutrosophic distribution estimation simulation |
| url | https://fs.unm.edu/NSS/55StatisticalCharacterization.pdf |
| work_keys_str_mv | AT mansourfyassen statisticalcharacterizationoftheneutrosophicmoyaldistribution AT adnanamin statisticalcharacterizationoftheneutrosophicmoyaldistribution |