Limit distributions for the problem of collecting pairs
Mladenović, Pavle
Bernoulli, Tome 14 (2008) no. 1, p. 419-439 / Harvested from Project Euclid
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Let Nn={1, 2, …, n}. Elements are drawn from the set Nn with replacement, assuming that each element has probability 1/n of being drawn. We determine the limiting distributions for the waiting time until the given portion of pairs jj, j∈Nn, is sampled. Exact distributions of some related random variables and their characteristics are also obtained.
Publié le : 2008-05-15
Classification:  Chebyshev polynomials,  extreme values,  limit theorems,  mixing conditions,  order statistics,  urn models,  waiting time 
@article{1208872112,
     author = {Mladenovi\'c, Pavle},
     title = {Limit distributions for the problem of collecting pairs},
     journal = {Bernoulli},
     volume = {14},
     number = {1},
     year = {2008},
     pages = { 419-439},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1208872112}
}

Mladenović, Pavle. Limit distributions for the problem of collecting pairs. Bernoulli, Tome 14 (2008) no. 1, pp.  419-439. http://gdmltest.u-ga.fr/item/1208872112/