Louchard, Guy and Prodinger, Helmut - Asymptotic results for silent elimination

dmtcs:527 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, Vol. 12 no. 2
Asymptotic results for silent elimination

Authors: Louchard, Guy and Prodinger, Helmut

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..


Source : oai:HAL:hal-00994591v1
Volume: Vol. 12 no. 2
Published on: January 1, 2010
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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