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Asymptotic results for families of power series distributions

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FD2W01 - Deterministic and stochastic fractional diļ¬€erential equations and jump processes

In this paper we consider suitable families of power series distributed random variables, and westudy their asymptotic behavior in the fashion of large (and moderate) deviations. We also presenttwo examples of fractional counting processes, where the normalizations of theinvolved power series distributions can be expressed in terms of the Prabhakar function.

This talk is part of the Isaac Newton Institute Seminar Series series.

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