Abstract
In this note we propose several characterizations of the Sibuya distribution. A related distribution we call the semi-Sibuya distribution is introduced and studied.
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References
Bouzar N. (2004). Discrete semi-stable distributions. Annals of the Institute of Statistical Mathematics 56, 497–510
Christoph G., Schreiber K. (2000). Scaled Sibuya distribution and discrete self-decomposability. Statistics and Probability Letters 48, 181–187
Devroye L. (1993) A triptych of discrete distributions related to the stable law. Statistics and Probability Letters 18, 349–351
Sato K. (1999) Lévy Processes and infinitely divisible distributions. Cambridge, Cambridge University Press
Sibuya M. (1979). Generalized hypergeometric digamma and trigamma distributions. Annals of the Institute of Statistical Mathematics 31, 373–390
Steutel F.W., van Harn K. (2004). Infinite divisibility of probability distributions on the real line. New York, Marcel Dekker
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Bouzar, N. The semi-Sibuya distribution. AISM 60, 459–464 (2008). https://doi.org/10.1007/s10463-007-0118-4
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DOI: https://doi.org/10.1007/s10463-007-0118-4