Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the optimal filter in a hidden Markov model with
  multiplicative noise   We consider a hidden Markov model with multiplicative noise emerging from
studies of software reliability. We show the stability of the optimal filter
with respect to general initial conditions in the total variation- and
$L^p$-norm and deduce explicit rates. Remarkably, stability turns out to be
independent of the ergodic behavior of the signal.

22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int