Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient statistic: higher-order asymptotics and Bartlett-type
  correction   We obtain an asymptotic expansion for the null distribution function of
thegradient statistic for testing composite null hypotheses in the presence of
nuisance parameters. The expansion is derived using a Bayesian route based on
the shrinkage argument described in Ghosh and Mukerjee (1991). Using this
expansion, we propose a Bartlett-type corrected gradient statistic with
chi-square distribution up to an error of order o(n^{-1}) under the null
hypothesis. Further, we also use the expansion to modify the percentage points
of the large sample reference chi-square distribution. A small Monte Carlo
experiment and various examples are presented and discussed.

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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
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The categories of this paper are: cs
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: gr-qc