Ordering results between two finite arithmetic mixture models with multiple-outlier location-scale distributed components
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912154757627904 |
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| author | Bhakta, Raju Torrado, Nuria Das, Sangita Kayal, Suchandan |
| author_facet | Bhakta, Raju Torrado, Nuria Das, Sangita Kayal, Suchandan |
| contents | In this article, we introduce finite mixture models (FMMs) renowned for capturing population heterogeneity. Our focus lies in establishing stochastic comparisons between two arithmetic (finite) mixture models, employing the vector majorization concept in the context of various univariate orders of magnitude, transform, and variability. These comparisons are conducted within the framework of multiple-outlier location-scale models. Specifically, we derive sufficient conditions for comparing two finite arithmetic mixture models with components distributed in a multiple-outlier location-scale model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ordering results between two finite arithmetic mixture models with multiple-outlier location-scale distributed components Bhakta, Raju Torrado, Nuria Das, Sangita Kayal, Suchandan Statistics Theory 60E15, 90B25 In this article, we introduce finite mixture models (FMMs) renowned for capturing population heterogeneity. Our focus lies in establishing stochastic comparisons between two arithmetic (finite) mixture models, employing the vector majorization concept in the context of various univariate orders of magnitude, transform, and variability. These comparisons are conducted within the framework of multiple-outlier location-scale models. Specifically, we derive sufficient conditions for comparing two finite arithmetic mixture models with components distributed in a multiple-outlier location-scale model. |
| title | Ordering results between two finite arithmetic mixture models with multiple-outlier location-scale distributed components |
| topic | Statistics Theory 60E15, 90B25 |
| url | https://arxiv.org/abs/2412.10071 |