Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds for the normal approximation of the maximum likelihood estimator   While the asymptotic normality of the maximum likelihood estimator under
regularity conditions is long established, this paper derives explicit bounds
for the bounded Wasserstein distance between the distribution of the maximum
likelihood estimator (MLE) and the normal distribution. For this task, we
employ Stein's method. We focus on independent and identically distributed
random variables, covering both discrete and continuous distributions as well
as exponential and non-exponential families. In particular, a closed form
expression of the MLE is not required. We also use a perturbation method to
treat cases where the MLE has positive probability of being on the boundary of
the parameter space.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn