Orsingher, Enzo; Polito, Federico - In: Statistics & Probability Letters 82 (2012) 4, pp. 852-858
In this paper, we introduce the space-fractional Poisson process whose state probabilities pkα(t), t≥0, α∈(0,1], are … process is investigated and finally, we arrive at the more general space–time-fractional Poisson process of which we give the … expressed as distributions of the minimum of i.i.d. uniform random variables. The comparison with the time-fractional Poisson …