Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic perturbations and systematic bias in statistical modeling and
  inference   In this paper we provide a comprehensive study of statistical inference in
linear and allied models which exhibit some analytic perturbations in their
design and covariance matrices. We also indicate a few potential applications.
In the theory of perturbations of linear operators it has been known for a long
time that the so-called ``singular perturbations'' can have a big impact on
solutions of equations involving these operators even when their size is small.
It appears that so far the question of whether such undesirable phenomena can
also occur in statistical models and their solutions has not been formally
studied. The models considered in this article arise in the context of
nonlinear models where a single parameter accounts for the nonlinearity.

19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org