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Fractional non-homogeneous Poisson and Pólya-Aeppli processes of order $k$ and beyond
Tetyana Kadankova, Nikolai Leonenko, Enrico Scalas · 2020-08-21 · via math.PR updates on arXiv.org

We introduce two non-homogeneous processes: a fractional non-homogeneous Poisson process of order $k$ and and a fractional non-homogeneous Pólya-Aeppli process of order $k$. We characterize these processes by deriving their non-local governing equations. We further study the covariance structure of the processes and investigate the long-range dependence property.

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