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A triptych of discrete distributions related to the stable law

Luc Devroye

Statistics & Probability Letters, 1993, vol. 18, issue 5, 349-351

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.

Keywords: Discrete; stable; distribution; random; variate; generation; distribution; theory; Linnik's; distribution (search for similar items in EconPapers)
Date: 1993
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Handle: RePEc:eee:stapro:v:18:y:1993:i:5:p:349-351