Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on error estimation for hypothesis testing problems for some
  linear SPDEs   The aim of the present paper is to estimate and control the Type I and Type
II errors of a simple hypothesis testing problem of the drift/viscosity
coefficient for stochastic fractional heat equation driven by additive noise.
Assuming that one path of the first $N$ Fourier modes of the solution is
observed continuously over a finite time interval $[0,T]$, we propose a new
class of rejection regions and provide computable thresholds for $T$, and $N$,
that guarantee that the statistical errors are smaller than a given upper
bound. The considered tests are of likelihood ratio type. The main ideas, and
the proofs, are based on sharp large deviation bounds. Finally, we illustrate
the theoretical results by numerical simulations.

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The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin