217 citations · 502 across the 43 of their papers we have counts for
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Compound Poisson and signed compound Poisson approximations to the Markov binomial law
V. Čekanavičius, P. Vellaisamy
Compound Poisson distributions and signed compound Poisson measures are used for approximation of the Markov binomial distribution. The upper and lower bound estimates are obtained…
The fractional Poisson process and the inverse stable subordinator
Mark M. Meerschaert, Erkan Nane, P. Vellaisamy
The fractional Poisson process is a renewal process with Mittag-Leffler waiting times. Its distributions solve a time-fractional analogue of the Kolmogorov forward equation for a P…
Transient anomalous sub-diffusion on bounded domains
Erkan Nane, Mark M. Meerschaert, Palaniappan Vellaisamy
This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractiona…