Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimation and tests for models satisfying linear constraints with
  unknown parameter   We introduce estimation and test procedures through divergence minimization
for models satisfying linear constraints with unknown parameter. Several
statistical examples and motivations are given. These procedures extend the
empirical likelihood (EL) method and share common features with generalized
empirical likelihood (GEL). We treat the problems of existence and
characterization of the divergence projections of probability measures on sets
of signed finite measures. Our approach allows for a study of the estimates
under misspecification. The asymptotic behavior of the proposed estimates are
studied using the dual representation of the divergences and the explicit forms
of the divergence projections. We discuss the problem of the choice of the
divergence under various respects. Also we handle efficiency and robustness
properties of minimum divergence estimates. A simulation study shows that the
Hellinger divergence enjoys good efficiency and robustness properties.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an