Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sliced Inverse Moment Regression Using Weighted Chi-Squared Tests for
  Dimension Reduction   We propose a new method for dimension reduction in regression using the first
two inverse moments. We develop corresponding weighted chi-squared tests for
the dimension of the regression. The proposed method considers linear
combinations of Sliced Inverse Regression (SIR) and the method using a new
candidate matrix which is designed to recover the entire inverse second moment
subspace. The optimal combination may be selected based on the p-values derived
from the dimension tests. Theoretically, the proposed method, as well as Sliced
Average Variance Estimate (SAVE), are more capable of recovering the complete
central dimension reduction subspace than SIR and Principle Hessian Directions
(pHd). Therefore it can substitute for SIR, pHd, SAVE, or any linear
combination of them at a theoretical level. Simulation study indicates that the
proposed method may have consistently greater power than SIR, pHd, and SAVE.

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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics