Abstract
Let $N_n=\{1, 2, …, n\}$. Elements are drawn from the set $N_n$ 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 $jj, j∈N_n$, is sampled. Exact distributions of some related random variables and their characteristics are also obtained.
Citation
Pavle Mladenović. "Limit distributions for the problem of collecting pairs." Bernoulli 14 (2) 419 - 439, May 2008. https://doi.org/10.3150/07-BEJ114
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