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Fractional Poisson Processes of Order k and Beyond
In this article, we introduce fractional Poisson fields of order k in n-dimensional Euclidean space of positive real valued vectors. We also work on time-fractional Poisson process of order k, space-fractional Poisson processes of order k and a tempered ...
Arun Kumar
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Fractional Poisson Fields and Martingales [PDF]
We present new properties for the Fractional Poisson process (FPP) and theFractional Poisson field on the plane. A martingale characterization for FPPs is given.
Giacomo Aletti +2 more
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Saigo space–time fractional Poisson process via Adomian decomposition method
We obtain the state probabilities of various fractional versions of the classical homogeneous Poisson process using an alternate and simpler method known as the Adomian decomposition method (ADM).
P Vellaisamy
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Time-changed space-time fractional Poisson process
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Parameter estimation for a discrete time model driven by fractional Poisson process
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The Fractional Poisson Process and the Inverse Stable Subordinator
Electronic Journal of Probability, 2011Mark M. Meerschaert +2 more
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Donsker type theorem for fractional Poisson process
Statistics and Probability Letters, 2019Frederi Viens +2 more
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