Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approaching the coupon collector's problem with group drawings via
  Stein's method   In this paper the coupon collector's problem with group drawings is studied.
Assume there are $ n $ different coupons. At each time precisely $ s $ of the $
n $ coupons are drawn, where all choices are supposed to have equal
probability. The focus lies on the fluctuations, as $n\to\infty$, of the number
$Z_{n,s}(k_n)$ of coupons that have not been drawn in the first $k_n$ drawings.
Using a size-biased coupling construction together with Stein's method for
normal approximation, a quantitative central limit theorem for $Z_{n,s}(k_n)$
is shown for the case that $k_n={n\over s}(\alpha\log(n)+x)$, where
$0<\alpha<1$ and $x\in\mathbb{R}$. The same coupling construction is used to
retrieve a quantitative Poisson limit theorem in the boundary case $\alpha=1$,
again using Stein's method.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin