Multivariate Modified Dugum Distribution and Its Applications
The modified Dagum distribution is a highly versatile statistical model, and it is included in several important parametric families of distributions, with applications, such as economics and public health. In this paper, we introduce a multivariate version of the modified Dagum distribution and ded...
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MDPI AG
2025-05-01
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| author | Naelah Alghufily Khalaf S. Sultan Hossam M. M. Radwan |
| author_facet | Naelah Alghufily Khalaf S. Sultan Hossam M. M. Radwan |
| author_sort | Naelah Alghufily |
| collection | DOAJ |
| description | The modified Dagum distribution is a highly versatile statistical model, and it is included in several important parametric families of distributions, with applications, such as economics and public health. In this paper, we introduce a multivariate version of the modified Dagum distribution and deduce some of its sub-models to address specific analytical needs. We use two different approaches to derive the joint probability density function for the proposed distribution. Also, we derive the joint cumulative distribution function through the traditional method and the Clayton copula methods. In addition, we explore and discuss some statistical properties, including the multivariate dependence. Further, we use the maximum likelihood method to estimate the unknown parameters and the associated confidence interval. Finally, we apply the proposed model to analyze some real data sets, including a protein consumption data set and a warranty policy data set, for demonstrative purposes. The marginals of the proposed model fit the data sets quite well, and the results demonstrate the model’s effectiveness in modeling the proposed data. |
| format | Article |
| id | doaj-art-8dde14d37e0c4af7a9fdb473e7658a8b |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-8dde14d37e0c4af7a9fdb473e7658a8b2025-08-20T03:47:57ZengMDPI AGMathematics2227-73902025-05-011310162010.3390/math13101620Multivariate Modified Dugum Distribution and Its ApplicationsNaelah Alghufily0Khalaf S. Sultan1Hossam M. M. Radwan2Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaMathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, EgyptMathematics Department, Faculty of Science, Minia University, Minia 61519, EgyptThe modified Dagum distribution is a highly versatile statistical model, and it is included in several important parametric families of distributions, with applications, such as economics and public health. In this paper, we introduce a multivariate version of the modified Dagum distribution and deduce some of its sub-models to address specific analytical needs. We use two different approaches to derive the joint probability density function for the proposed distribution. Also, we derive the joint cumulative distribution function through the traditional method and the Clayton copula methods. In addition, we explore and discuss some statistical properties, including the multivariate dependence. Further, we use the maximum likelihood method to estimate the unknown parameters and the associated confidence interval. Finally, we apply the proposed model to analyze some real data sets, including a protein consumption data set and a warranty policy data set, for demonstrative purposes. The marginals of the proposed model fit the data sets quite well, and the results demonstrate the model’s effectiveness in modeling the proposed data.https://www.mdpi.com/2227-7390/13/10/1620multivariate modified Dagum distributionClayton copulamultivariate dependence propertiesmaximum likelihood estimationprotein consumption and warranty policies data sets |
| spellingShingle | Naelah Alghufily Khalaf S. Sultan Hossam M. M. Radwan Multivariate Modified Dugum Distribution and Its Applications Mathematics multivariate modified Dagum distribution Clayton copula multivariate dependence properties maximum likelihood estimation protein consumption and warranty policies data sets |
| title | Multivariate Modified Dugum Distribution and Its Applications |
| title_full | Multivariate Modified Dugum Distribution and Its Applications |
| title_fullStr | Multivariate Modified Dugum Distribution and Its Applications |
| title_full_unstemmed | Multivariate Modified Dugum Distribution and Its Applications |
| title_short | Multivariate Modified Dugum Distribution and Its Applications |
| title_sort | multivariate modified dugum distribution and its applications |
| topic | multivariate modified Dagum distribution Clayton copula multivariate dependence properties maximum likelihood estimation protein consumption and warranty policies data sets |
| url | https://www.mdpi.com/2227-7390/13/10/1620 |
| work_keys_str_mv | AT naelahalghufily multivariatemodifieddugumdistributionanditsapplications AT khalafssultan multivariatemodifieddugumdistributionanditsapplications AT hossammmradwan multivariatemodifieddugumdistributionanditsapplications |