Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The median of a jittered Poisson distribution   Let $N_\lambda$ and $U$ be two independent random variables respectively
distributed as a Poisson distribution with parameter $\lambda >0$ and a uniform
distribution on $(0,1)$. This paper establishes that the median, say $M$, of
$N_\lambda+U$ is close to $\lambda +1/3$ and more precisely that
$M-\lambda-1/3=o(\lambda^{-1})$ as $\lambda\to \infty$. This result is used to
construt a very simple robust estimator of $\lambda$ which is consistent and
asymptotically normal. Compared to known robust estimates, this one can still
be used with large datasets ($n\simeq 10^9$).

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph