Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data
The identification of an appropriate probability model is always essential in environmental data analysis. This work presents the notion of the neutrosophic lognormal distribution (NLD) and its application to environmental data. The general structure for the density function of the NLD and its usefu...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-12-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/StatisticalNeutrosophicLognormal1.pdf |
| _version_ | 1797985768698806272 |
|---|---|
| author | Zahid Khan Adnan Amin Sajjad Ahmad Khan Muhammad Gulistan |
| author_facet | Zahid Khan Adnan Amin Sajjad Ahmad Khan Muhammad Gulistan |
| author_sort | Zahid Khan |
| collection | DOAJ |
| description | The identification of an appropriate probability model is always essential in environmental data analysis. This work presents the notion of the neutrosophic lognormal distribution (NLD) and its application to environmental data. The general structure for the density function of the NLD and its usefulness has been provided. Some more critical distributional properties such as moments, skewness and kurtosis coefficients have been derived. A methodology of estimating the distributional parameters under the neutrosophic environment is developed. The simulation study is conducted to validate the derived results for the proposed model. In the application part, a real dataset on Nitrogen oxides emissions has been analyzed using NLD to highlight the practical significance of the proposed model. |
| first_indexed | 2024-04-11T07:23:17Z |
| format | Article |
| id | doaj.art-7607899464d843fdae926587ec4b88c1 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-11T07:23:17Z |
| publishDate | 2021-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-7607899464d843fdae926587ec4b88c12022-12-22T04:37:09ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-12-014711110.5281/zenodo.5775076Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental DataZahid KhanAdnan AminSajjad Ahmad KhanMuhammad GulistanThe identification of an appropriate probability model is always essential in environmental data analysis. This work presents the notion of the neutrosophic lognormal distribution (NLD) and its application to environmental data. The general structure for the density function of the NLD and its usefulness has been provided. Some more critical distributional properties such as moments, skewness and kurtosis coefficients have been derived. A methodology of estimating the distributional parameters under the neutrosophic environment is developed. The simulation study is conducted to validate the derived results for the proposed model. In the application part, a real dataset on Nitrogen oxides emissions has been analyzed using NLD to highlight the practical significance of the proposed model.http://fs.unm.edu/NSS/StatisticalNeutrosophicLognormal1.pdfneutrosophic probability modeluncertainty; lognormal modelestimationsimulation |
| spellingShingle | Zahid Khan Adnan Amin Sajjad Ahmad Khan Muhammad Gulistan Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data Neutrosophic Sets and Systems neutrosophic probability model uncertainty; lognormal model estimation simulation |
| title | Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data |
| title_full | Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data |
| title_fullStr | Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data |
| title_full_unstemmed | Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data |
| title_short | Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data |
| title_sort | statistical development of the neutrosophic lognormal model with application to environmental data |
| topic | neutrosophic probability model uncertainty; lognormal model estimation simulation |
| url | http://fs.unm.edu/NSS/StatisticalNeutrosophicLognormal1.pdf |
| work_keys_str_mv | AT zahidkhan statisticaldevelopmentoftheneutrosophiclognormalmodelwithapplicationtoenvironmentaldata AT adnanamin statisticaldevelopmentoftheneutrosophiclognormalmodelwithapplicationtoenvironmentaldata AT sajjadahmadkhan statisticaldevelopmentoftheneutrosophiclognormalmodelwithapplicationtoenvironmentaldata AT muhammadgulistan statisticaldevelopmentoftheneutrosophiclognormalmodelwithapplicationtoenvironmentaldata |