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math.PR2016★ 1 cited
Non-homogeneous space-time fractional Poisson processes
A. Maheshwari, P. Vellaisamy
The space-time fractional Poisson process (STFPP), defined by Orsingher and Poilto in \cite{sfpp}, is a generalization of the time fractional Poisson process (TFPP) and the space f…
math.PR2016
On the Long-range Dependence of Fractional Poisson and Negative Binomial Processes
A. Maheshwari, P. Vellaisamy
We study the long-range dependence (LRD) of the increments of the fractional Poisson process (FPP), the fractional negative binomial process (FNBP) and the increments of the FNBP.…