A new urn model
نویسندگان
چکیده
منابع مشابه
A New Urn Model
In this paper, we propose a new urn model. A single urn contains b black balls and w white balls. For each observation, we randomly drawm balls and note their colors, say k black balls andm−k white balls. We return the drawn balls to the urn with an additional ck black balls and c(m− k) white balls. We repeat this procedure n times and denote by Xn the fraction of black balls after the nth draw...
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We analyze a preferential urn model with randomness using the replica method. The preferential urn model is a stochastic model based on the concept “the rich get richer.” The replica analysis clarifies that the preferential urn model with randomness shows a fat-tailed occupation distribution. We discuss the intuitive picture of the urn model, a relationship between quenched and annealing system...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2005
ISSN: 0021-9002,1475-6072
DOI: 10.1239/jap/1134587809