MRL order, log-concavity and an application to peacocks
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2015
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| _version_ | 1866914027939037184 |
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| author | Bogso, Antoine Marie |
| author_facet | Bogso, Antoine Marie |
| contents | We provide an equivalent log-concavity condition to the mean residual life (MRL) ordering for real-valued processes. This result, combined with classical properties of total positivity of order 2, allows to exhibit new families of integrable processes which increase in the MRL order (MRL processes). Note that MRL processes with constant mean are peacocks to which the Azéma-Yor (Skorokhod embedding) algorithm yields an explicit associated martingale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_05119 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | MRL order, log-concavity and an application to peacocks Bogso, Antoine Marie Probability 60E15, 60G44, 60J25, 32F17 We provide an equivalent log-concavity condition to the mean residual life (MRL) ordering for real-valued processes. This result, combined with classical properties of total positivity of order 2, allows to exhibit new families of integrable processes which increase in the MRL order (MRL processes). Note that MRL processes with constant mean are peacocks to which the Azéma-Yor (Skorokhod embedding) algorithm yields an explicit associated martingale. |
| title | MRL order, log-concavity and an application to peacocks |
| topic | Probability 60E15, 60G44, 60J25, 32F17 |
| url | https://arxiv.org/abs/1509.05119 |