Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing for a Random Walk Structure in the Frequency Evolution of a Tone
  in Noise   Inference and hypothesis testing is constructed on the basis that a specific
model holds for the data. To determine the veracity of conclusions drawn from
such data analyses, one must be able to identify the presence of the assumed
structure within the data. A model verification test is developed for the
presence of a random walk-like structure for variations in the frequency of
complex-valued sinusoidal signals measured in additive Gaussian noise. This
test evaluates the joint inference of the random walk hypothesis tests found in
economics literature that seek random walk behaviours in time series data, with
an additional test to account for how the random walk behaves in frequency
space.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas