Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust estimation of mixtures of regressions with random covariates, via
  trimming and constraints   A robust estimator for a wide family of mixtures of linear regression is
presented. Robustness is based on the joint adoption of the Cluster Weighted
Model and of an estimator based on trimming and restrictions. The selected
model provides the conditional distribution of the response for each group, as
in mixtures of regression, and further supplies local distributions for the
explanatory variables. A novel version of the restrictions has been devised,
under this model, for separately controlling the two sources of variability
identified in it. This proposal avoids singularities in the log-likelihood,
caused by approximate local collinearity in the explanatory variables or local
exact fit in regressions, and reduces the occurrence of spurious local
maximizers. In a natural way, due to the interaction between the model and the
estimator, the procedure is able to resist the harmful influence of bad
leverage points along the estimation of the mixture of regressions, which is
still an open issue in the literature. The given methodology defines a
well-posed statistical problem, whose estimator exists and is consistent to the
corresponding solution of the population optimum, under widely general
conditions. A feasible EM algorithm has also been provided to obtain the
corresponding estimation. Many simulated examples and two real datasets have
been chosen to show the ability of the procedure, on the one hand, to detect
anomalous data, and, on the other hand, to identify the real cluster
regressions without the influence of contamination.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol