Applications of Fuss-Catalan Numbers to Success Runs of Bernoulli Trials

In a recent paper, the authors derived the exact solution for the probability mass function of the geometric distribution of order k, expressing the roots of the associated auxiliary equation in terms of generating functions for Fuss-Catalan numbers. This paper applies the above formalism for the Fu...

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Bibliographic Details
Main Authors: S. J. Dilworth, S. R. Mane
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2016/2071582
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