Klebanov e.a. (1984) have shown that the set of geometrically infinitely divisible distributions coincides with the closure of the set of compound geometric distributions. We prove that from this it follows that (mixtures of) log-convex densities on (0,\infty) are geometrically infinitely divisible. The results of Pillai and Sandhya (1990) are easy consequences of this.
|Place of Publication||Eindhoven|
|Publisher||Technische Universiteit Eindhoven|
|Number of pages||5|
|Publication status||Published - 1990|