Local Closure under Infinitely Divisible Distribution Roots and Esscher Transform
Local Closure under Infinitely Divisible Distribution Roots and Esscher Transform
In this paper, we show that the local distribution class Lloc∩OSloc is not closed under infinitely divisible distribution roots, i.e., there is an infinitely divisible distribution which belongs to the class, while the corresponding Lévy distribution does not. Conversely, we give a condition, under which, if an infinitely divisible distribution …