Abstract
For a sequence ofm urns we investigate how the number of urns satisfying a certain condition (e.g., being empty) evolves in time when after each time unit a ball is thrown. We show for a variety of urn models that this process (suitably normalized) converges weakly to a Gaussian process.
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Communicated by H. Prodinger and W. Szpankowski.
The first and third authors’ work was supported by the Austrian Science Foundation FWF, Grant P10187-MAT. The second author was also supported by the Austrian-French project AMADEUS No. 97049.
Online publication September 22, 2000.
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Drmota, M., Gardy, D. & Gittenberger, B. A unified presentation of some urn models. Algorithmica 29, 120–147 (2001). https://doi.org/10.1007/BF02679616
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DOI: https://doi.org/10.1007/BF02679616