Maxitive functions with respect to general orders
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915180639682560 |
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| author | Kupper, M. Zapata, J. M. |
| author_facet | Kupper, M. Zapata, J. M. |
| contents | In decision-making, maxitive functions are used for worst-case and best-case evaluations. Maxitivity gives rise to a rich structure that is well-studied in the context of the pointwise order. In this article, we investigate maxitivity with respect to general preorders and provide a representation theorem for such functions. The results are illustrated for different stochastic orders in the literature, including the usual stochastic order, the increasing convex/concave order, and the dispersive order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maxitive functions with respect to general orders Kupper, M. Zapata, J. M. Statistics Theory In decision-making, maxitive functions are used for worst-case and best-case evaluations. Maxitivity gives rise to a rich structure that is well-studied in the context of the pointwise order. In this article, we investigate maxitivity with respect to general preorders and provide a representation theorem for such functions. The results are illustrated for different stochastic orders in the literature, including the usual stochastic order, the increasing convex/concave order, and the dispersive order. |
| title | Maxitive functions with respect to general orders |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2403.06613 |