Large deviations for fractional Poisson processes

Details Large deviations for fractional Poisson processes Large deviations for fractional Poisson processes

2012-04-06

arxiv.org/abs/1204.1446v1

Mathematics

Probability

Scientific paper

We present large deviation results for two versions of fractional Poisson processes: the main version which is a renewal process, and the alternative version where all the random variables are weighted Poisson distributed. We also present a sample path large deviation result for suitably normalized counting processes; finally we show how this result can be applied to the two versions of fractional Poisson processes considered in this paper.

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