Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semimartingale Stochastic Approximation Procedures and Recursive
  Estimation   The semimartingale stochastic approximation procedure, namely, the
Robbins-Monro type SDE is introduced which naturally includes both generalized
stochastic approximation algorithms with martingale noises and recursive
parameter estimation procedures for statistical models associated with
semimartingales. General results concerning the asymptotic behaviour of the
solution are presented. In particular, the conditions ensuring the convergence,
rate of convergence and asymptotic expansion are established. The results
concerning the Polyak weighted averaging procedure are also presented.

1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci