Statistics and Probability, tempered stable distributions and processes, stable processes, Lévy processes, Ornstein– Uhlenbeck–type processes, shot noise representations, Applied Mathematics, Infinitely divisible distributions; stable distributions, Tempered stable distributions and processes, Processes with independent increments; Lévy processes, Shot noise representations, Characteristic functions; other transforms, Stable stochastic processes, Lévy processes, stable processes, Modelling and Simulation, Ornstein-Uhlenbeck-type processes, shot noise representations, Stable processes, Ornstein–Uhlenbeck-type processes, tempered stable distributions and processes, ddc: ddc: