Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling Properties of Long-Range Correlated Noisy Signals   The Hurst coefficient $H$ of a stochastic fractal signal is estimated using
the function $\sigma_{MA}^2=\frac{1}{N_{max}-n}\sum_{i=n}^{N_{max}}
[y(i)-\widetilde{y}_n(i)]^2$, where $\widetilde{y}_n(i)$ is defined as $1/n
\sum_{k=0}^{n-1} y(i-k)$, $n$ is the dimension of moving average box and
$N_{max}$ is the dimension of the stochastic series. The ability to capture
scaling properties by $\sigma_{MA}^2$ can be understood by observing that the
function $C_n(i)= y(i)-\widetilde{y}_n(i)$ generates a sequence of random
clusters having power-law probability distribution of the amplitude and of the
lifetime, with exponents equal to the fractal dimension $D$ of the stochastic
series.

20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol