Geodesic
Asymptotic results for silent elimination
Discrete mathematics & theoretical computer science, Tome 12 (2010) no. 2.

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Following the model of Bondesson, Nilsson, and Wikstrand, we consider randomly filled urns, where the probability of falling into urn i is the geometric probability (1-q)qi-1. Assuming n independent random entries, and a fixed parameter k, the interest is in the following parameters: Let T be the smallest index, such that urn T is non-empty, but the following k are empty, then: XT= number of balls in urn T, ST= number of balls in urns with index larger than T, and finally T itself.. 
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     author = {Louchard, Guy and Prodinger, Helmut},
     title = {Asymptotic results for silent elimination},
     journal = {Discrete mathematics & theoretical computer science},
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     number = {2},
     year = {2010},
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Louchard, Guy; Prodinger, Helmut. Asymptotic results for silent elimination. Discrete mathematics & theoretical computer science, Tome 12 (2010) no. 2. doi : 10.46298/dmtcs.527. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.527/

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