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Fractional negative binomial and Pólya processes

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.5

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Fractional negative binomial process, fractional Pólya process, fractional Poisson process, infinite divisibility, Lévy process, PDEs

Geometric stable and semistable distributions on (Z+)^d

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Semigroup, geometric infinite divisibility, branching processes, mixture representation, domain of geometric attraction

Series representation of time-stable stochastic processes

DOI: http://dx.doi.org/10.19195/0208-4147.38.2.4

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Infinite divisibility, LePage series, Lévy process, point process, time-stable process

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