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$ q$-probability distributions via an extension of the Bernoulli process

Author: Philip Feinsilver
Journal: Proc. Amer. Math. Soc. 87 (1983), 508-515
MSC: Primary 60J05; Secondary 33A35
MathSciNet review: 684648
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Abstract: One-parameter extensions of the Binomial, Negative Binomial, Poisson, Geometric and Gamma distributions are derived via an extension of the standard Bernoulli counting scheme. The method is to examine the elementary "potential theory" for the basic process. Some interesting extensions to continuous time are mentioned also.

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Article copyright: © Copyright 1983 American Mathematical Society

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