Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a general theory for non-linear locally stationary processes   In this paper some general theory is presented for locally stationary
processes based on the stationary approximation and the stationary derivative.
Laws of large numbers, central limit theorems as well as deterministic and
stochastic bias expansions are proved for processes obeying an expansion in
terms of the stationary approximation and derivative. In addition it is shown
that this applies to some general nonlinear non-stationary Markov-models. In
addition the results are applied to derive the asymptotic properties of maximum
likelihood estimates of parameter curves in such models.

26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an