Geodesic
Compositions and samples of geometric random variables with constrained multiplicities
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010).

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We investigate the probability that a random composition (ordered partition) of the positive integer $n$ has no parts occurring exactly $j$ times, where $j$ belongs to a specified finite $\textit{`forbidden set'}$ $A$ of multiplicities. This probability is also studied in the related case of samples $\Gamma =(\Gamma_1,\Gamma_2,\ldots, \Gamma_n)$ of independent, identically distributed random variables with a geometric distribution. 
@article{DMTCS_2010_special_259_a80,
     author = {Archibald, Margaret and Knopfmacher, Arnold and Mansour, Toufik},
     title = {Compositions and samples of geometric random variables with constrained multiplicities},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)},
     year = {2010},
     doi = {10.46298/dmtcs.2885},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2885/}
}
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Archibald, Margaret; Knopfmacher, Arnold; Mansour, Toufik. Compositions and samples of geometric random variables with constrained multiplicities. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010). doi : 10.46298/dmtcs.2885. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2885/

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