Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform saddlepoint approximations for ratios of quadratic forms   Ratios of quadratic forms in correlated normal variables which introduce
noncentrality into the quadratic forms are considered. The denominator is
assumed to be positive (with probability 1). Various serial correlation
estimates such as least-squares, Yule--Walker and Burg, as well as
Durbin--Watson statistics, provide important examples of such ratios. The
cumulative distribution function (c.d.f.) and density for such ratios admit
saddlepoint approximations. These approximations are shown to preserve
uniformity of relative error over the entire range of support. Furthermore,
explicit values for the limiting relative errors at the extreme edges of
support are derived.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex