Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small-sample testing inference in symmetric and log-symmetric linear
  regression models   This paper deals with the issue of testing hypothesis in symmetric and
log-symmetric linear regression models in small and moderate-sized samples. We
focus on four tests, namely the Wald, likelihood ratio, score, and gradient
tests. These tests rely on asymptotic results and are unreliable when the
sample size is not large enough to guarantee a good agreement between the exact
distribution of the test statistic and the corresponding chi-squared asymptotic
distribution. Bartlett and Bartlett-type corrections typically attenuate the
size distortion of the tests. These corrections are available in the literature
for the likelihood ratio and score tests in symmetric linear regression models.
Here, we derive a Bartlett-type correction for the gradient test. We show that
the corrections are also valid for the log-symmetric linear regression models.
We numerically compare the various tests, and bootstrapped tests, through
simulations. Our results suggest that the corrected and bootstrapped tests
exhibit type I probability error closer to the chosen nominal level with
virtually no power loss. The analytically corrected tests, including the
Bartlett-corrected gradient test derived in this paper, perform as well as the
bootstrapped tests with the advantage of not requiring
computationally-intensive calculations. We present two real data applications
to illustrate the usefulness of the modified tests.
  Keywords: Symmetric regression models; Bartlett correction; Bartlett-type
correction; Bootstrap; Log-symmetric regression models; gradient statistic;
score statistic; likelihood ratio statistic; Wald statistic.

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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol