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https://research.matf.bg.ac.rs/handle/123456789/889| Title: | Limit distributions for the problem of collecting pairs | Authors: | Mladenović, Pavle | Affiliations: | Probability and Mathematical Statistics | Keywords: | Chebyshev polynomials;Extreme values;Limit theorems;Mixing conditions;Order statistics;Urn models;Waiting time | Issue Date: | 1-May-2008 | Journal: | Bernoulli | Abstract: | Let Nn = {1,2..., n}. Elements are drawn from the set Nn with replacement, assuming that each element 2, t_ has probability 1/n of being drawn. We determine the limiting distributions for the waiting time until the given portion of pairs jj, j ε Nn, is sampled. Exact distributions of some related random variables and their characteristics are also obtained. © 2008 ISI/BS. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/889 | ISSN: | 13507265 | DOI: | 10.3150/07-BEJ114 |
| Appears in Collections: | Research outputs |
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