Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal rates for finite mixture estimation   We study the rates of estimation of finite mixing distributions, that is, the
parameters of the mixture. We prove that under some regularity and strong
identifiability conditions, around a given mixing distribution with $m_0$
components, the optimal local minimax rate of estimation of a mixing
distribution with $m$ components is $n^{-1/(4(m-m_0) + 2)}$. This corrects a
previous paper by Chen (1995) in The Annals of Statistics.
  By contrast, it turns out that there are estimators with a (non-uniform)
pointwise rate of estimation of $n^{-1/2}$ for all mixing distributions with a
finite number of components.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio