Rational characteristic functions and geometric infinite divisibility
Motivated by the fact that exponential and Laplace distributions have rational characteristic functions and are both geometric infinitely divisible (GID), we investigate the latter property in the context of more general probability distributions on the real line with rational characteristic functions of the form P(t)/Q (t), where P(t) = 1 + a(1)it + a(2)(it)(2) and Q (t) = 1 + b(1)it + b(2)(it)(2
