### Asymptotic results for silent elimination

*Guy Louchard, Helmut Prodinger*

#### Abstract

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)q

^{i-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: X_{T}= number of balls in urn T, S_{T}= number of balls in urns with index larger than T, and finally T itself.Full Text: PDF PostScript