*Wissenschaftliches Programm* † *Liste der Vortragenden*

Sektion 7
Dienstag, 19.09.2000, 14.00–14.20 Uhr, POT 112

Sibuya Distribution and Discrete Self-Decomposability

Gerd Christoph, Universitšt Magdeburg

A random variable having probability generating function G(z) = 1 - c (1 - z)g with c  (- (0, 1] and g  (- (0, 1] is called c-scaled Sibuya distributed.The main results concern the discrete self-decomposability and infinite divisibility of the scaled Sibuya distribution in dependence on the scale parameter.