MRL order, log-concavity and an application to peacocks
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.
Year of publication: |
2015
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Authors: | Bogso, Antoine Marie |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 125.2015, 4, p. 1282-1306
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Publisher: |
Elsevier |
Subject: | MRL order | Log-concavity | Peacocks | Martingales | Markov processes |
Saved in:
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