Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On frequency estimation for partially observed processes with small
  noise in observations   We consider the problem of frequency estimation of the periodic signal
multiplied by a stationary Gaussian process (Ornstein-Uhlenbeck) and observed
in the presence of the white Gaussian noise. We show the consistency and
asymptotic normality of the maximum likelihood estimator in the asymptotics of
small noise in observations. The model of observations is a linear
nonhomogeneous partially observed system and the construction and study of the
estimator is essentialy based on the asymptotics of the equations of
Kalman-Bucy filtration.

11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph