Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local asymptotic normality for shape and periodicity of a signal in the
  drift of a degenerate diffusion with internal variables   Taking a multidimensional time-homogeneous dynamical system and adding a
randomly perturbed time-dependent deterministic signal to some of its
components gives rise to a high-dimensional system of stochastic differential
equations which is driven by possibly very low-dimensional noise. Equations of
this type are commonly used in biology for modeling neurons or in statistical
mechanics for certain Hamiltonian systems. Assuming that the signal depends on
an unknown shape parameter $\theta$ and also has an unknown periodicity $T$, we
prove Local Asymptotic Normality (LAN) jointly in $\theta$ and $T$ for the
statistical experiment arising from (partial) observation of this diffusion in
continuous time. The local scale turns out to be $n^{-1/2}$ for $\theta$ and
$n^{-3/2}$ for $T$ which generalizes known results for simpler systems.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio