Scaled Sibuya distribution and discrete self-decomposability. (English) Zbl 0951.60020
Summary: The Sibuya distribution plays an important role in considering several discrete self-decomposable distributions. Here we will consider several properties of the Sibuya distribution. The main results will concern the discrete self-decomposability and infinite divisibility of the scaled Sibuya distribution in dependence of the scale parameter.
MSC:
| 60E05 | Probability distributions: general theory |
| 60F05 | Central limit and other weak theorems |
| 60E07 | Infinitely divisible distributions; stable distributions |
Keywords:
infinite divisibility; Sibuya distributions; discrete Linnik distributions; discrete stable distributionsReferences:
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