Stochastic orderings between two finite mixture models with inverted-Kumaraswamy distributed components
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929267493830656 |
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| author | Bhakta, Raju Kundu, Pradip Kayal, Suchandan Alizadeh, Morad |
| author_facet | Bhakta, Raju Kundu, Pradip Kayal, Suchandan Alizadeh, Morad |
| contents | In this paper, we consider two finite mixture models (FMMs), with inverted-Kumaraswamy distributed components' lifetimes. Several stochastic ordering results between the FMMs have been obtained. Mainly, we focus on three different cases in terms of the heterogeneity of parameters. The usual stochastic order between the FMMs have been established when heterogeneity presents in one parameter as well as two parameters. In addition, we have also studied ageing faster order in terms of the reversed hazard rate between two FMMs when heterogeneity is in two parameters. For the case of heterogeneity in three parameters, we obtain the comparison results based on reversed hazard rate and likelihood ratio orders. The theoretical developments have been illustrated using several examples and counterexamples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17568 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stochastic orderings between two finite mixture models with inverted-Kumaraswamy distributed components Bhakta, Raju Kundu, Pradip Kayal, Suchandan Alizadeh, Morad Statistics Theory 60E15, 90B25 In this paper, we consider two finite mixture models (FMMs), with inverted-Kumaraswamy distributed components' lifetimes. Several stochastic ordering results between the FMMs have been obtained. Mainly, we focus on three different cases in terms of the heterogeneity of parameters. The usual stochastic order between the FMMs have been established when heterogeneity presents in one parameter as well as two parameters. In addition, we have also studied ageing faster order in terms of the reversed hazard rate between two FMMs when heterogeneity is in two parameters. For the case of heterogeneity in three parameters, we obtain the comparison results based on reversed hazard rate and likelihood ratio orders. The theoretical developments have been illustrated using several examples and counterexamples. |
| title | Stochastic orderings between two finite mixture models with inverted-Kumaraswamy distributed components |
| topic | Statistics Theory 60E15, 90B25 |
| url | https://arxiv.org/abs/2311.17568 |