Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Central Limit Theorems and Minimum-Contrast Estimators for Linear
  Stochastic Evolution Equations   Central limit theorems and asymptotic properties of the minimum-contrast
estimators of the drift parameter in linear stochastic evolution equations
driven by fractional Brownian motion are studied. Both singular ($H <
\frac{1}{2})$ and regular ($H > \frac{1}{2})$ types of fractional Brownian
motion are considered. Strong consistency is achieved by ergodicity of the
stationary solution. The fundamental tool for the limit theorems and asymptotic
normality (shown for Hurst parameter $H < \frac{3}{4}$) is the so-called
$4^{th}$ moment theorem considered on the second Wiener chaos. This technique
provides also the Berry-Esseen-type bounds for the speed of the convergence.
The general results are illustrated for parabolic equations with distributed
and pointwise fractional noises.

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The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph