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A triptych of discrete distributions related to the stable law

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  • Devroye, Luc

Abstract

We derive useful distributional representations for three discrete laws: the discrete stable distribution of Steutel and Van Harn, the discrete Linnik distribution introduced by Pakes, and a distribution of Sibuya. These representations may be used to obtain simple uniformly fast random variate generators.

Suggested Citation

  • Devroye, Luc, 1993. "A triptych of discrete distributions related to the stable law," Statistics & Probability Letters, Elsevier, vol. 18(5), pages 349-351, December.
    • Handle: RePEc:eee:stapro:v:18:y:1993:i:5:p:349-351
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