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1998-24

Shifted and Scaled Sibuya Distribution and Discrete Self-Decomposability

by Christoph, G., Schreiber, K..


Series: 1998-24, Preprints

MSC:
60E05 Distributions: general theory
60F05 Central limit and other weak theorems
60E07 Infinitely divisible distributions; stable distributions

Abstract:
The Sibuya distribution plays a crucial role in considering several discrete self-decomposable distributions which occure as stationary distribution in pure death processes with immigration. Here, some properties of the Sibuya distribution are studied.

Keywords:
Discrete Linnik distributions, discrete stable and discrete stable and discrete Mittag-Leffler distributions, discrete self-decomposable, Sibuya distributions, stable distributions.

This paper was published in:
Statistics & Probability Letters, 48 (2000), pp. 181 - 187