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arXiv · 1407.2453

Multifractional Poisson process, multistable subordinator and related limit theorems

Ilya Molchanov·Kostiantyn Ralchenko
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Abstract

We introduce a multistable subordinator, which generalizes the stable subordinator to the case of time-varying stability index. This enables us to define a multifractional Poisson process. We study properties of these processes and establish the convergence of a continuous-time random walk to the multifractional Poisson process.

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Ilya Molchanov, Kostiantyn Ralchenko. 2014-07-09. Multifractional Poisson process, multistable subordinator and related limit theorems. https://arxiv.org/abs/1407.2453

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