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On the class of distributions of subordinated Lévy processes and bases

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This article studies the class of distributions obtained by subordinating Lévy processes and Lévy bases by independent subordinators and meta-times. To do this we derive properties of a suitable mapping obtained via Lévy mixing. We show that our results can be used to solve the so-called recovery problem for general Lévy bases as well as for moving average processes which are driven by subordinated Lévy processes.

OriginalsprogEngelsk
TidsskriftStochastic Processes and Their Applications
Vol/bind127
Nummer2
Sider (fra-til)475-496
Antal sider22
ISSN0304-4149
DOI
StatusUdgivet - 2017

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