Parsimonious mixture of mean-mixture of normal distributions with missing data
Clustering multivariate data based on mixture distributions is a usual method to characterize groups and label data sets. Mixture models have recently been received considerable attention to accommodate asymmetric and missing data via exploiting skewed and heavy-tailed distributions. In this paper,...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-08-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4229_243b2a9b6fa5a57b8aac42dc15a4fe7f.pdf |
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| _version_ | 1841560178444468224 |
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| author | Farzane Hashemi Saeed Darijani |
| author_facet | Farzane Hashemi Saeed Darijani |
| author_sort | Farzane Hashemi |
| collection | DOAJ |
| description | Clustering multivariate data based on mixture distributions is a usual method to characterize groups and label data sets. Mixture models have recently been received considerable attention to accommodate asymmetric and missing data via exploiting skewed and heavy-tailed distributions. In this paper, a mixture of multivariate mean-mixture of normal distributions is considered for handling missing data. The EM-type algorithms are carried out to determine maximum likelihood of parameters estimations. We analyzed the real data sets and conducted simulation studies to demonstrate the superiority of the proposed methodology. |
| format | Article |
| id | doaj-art-43a0d57d61cd4070b58d2ff8c5c780a8 |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-43a0d57d61cd4070b58d2ff8c5c780a82025-01-04T19:29:34ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-08-01133335410.22103/jmmr.2024.22642.15494229Parsimonious mixture of mean-mixture of normal distributions with missing dataFarzane Hashemi0Saeed Darijani1Department of Statistics, University of Kashan, Kashan, IranFarhangian University Of Kerman, Kerman, IranClustering multivariate data based on mixture distributions is a usual method to characterize groups and label data sets. Mixture models have recently been received considerable attention to accommodate asymmetric and missing data via exploiting skewed and heavy-tailed distributions. In this paper, a mixture of multivariate mean-mixture of normal distributions is considered for handling missing data. The EM-type algorithms are carried out to determine maximum likelihood of parameters estimations. We analyzed the real data sets and conducted simulation studies to demonstrate the superiority of the proposed methodology.https://jmmrc.uk.ac.ir/article_4229_243b2a9b6fa5a57b8aac42dc15a4fe7f.pdfem-type algorithmsfinite mixture modelmmn distributionmissing dataskew distribution |
| spellingShingle | Farzane Hashemi Saeed Darijani Parsimonious mixture of mean-mixture of normal distributions with missing data Journal of Mahani Mathematical Research em-type algorithms finite mixture model mmn distribution missing data skew distribution |
| title | Parsimonious mixture of mean-mixture of normal distributions with missing data |
| title_full | Parsimonious mixture of mean-mixture of normal distributions with missing data |
| title_fullStr | Parsimonious mixture of mean-mixture of normal distributions with missing data |
| title_full_unstemmed | Parsimonious mixture of mean-mixture of normal distributions with missing data |
| title_short | Parsimonious mixture of mean-mixture of normal distributions with missing data |
| title_sort | parsimonious mixture of mean mixture of normal distributions with missing data |
| topic | em-type algorithms finite mixture model mmn distribution missing data skew distribution |
| url | https://jmmrc.uk.ac.ir/article_4229_243b2a9b6fa5a57b8aac42dc15a4fe7f.pdf |
| work_keys_str_mv | AT farzanehashemi parsimoniousmixtureofmeanmixtureofnormaldistributionswithmissingdata AT saeeddarijani parsimoniousmixtureofmeanmixtureofnormaldistributionswithmissingdata |