Distribution with a simple Laplace transform and its applications to non-Poissonian stochastic processes

In this paper, we propose a novel probability distribution that asymptotically represents a power-law, ψ(t) ∼ t ^−α−1, with 0 < α < 2. The main feature of the distribution is that it has a simple expression in the Laplace transform representation, making it suitable for performing calculations in stochastic processes, particularly non-Poissonian processes. (paper)