Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Asymptotic Result of Conditional Logistic Regression Estimator   In cluster-specific studies, ordinary logistic regression and conditional
logistic regression for binary outcomes provide maximum likelihood estimator
(MLE) and conditional maximum likelihood estimator (CMLE), respectively. In
this paper, we show that CMLE is approaching to MLE asymptotically when each
individual data point is replicated infinitely many times. Our theoretical
derivation is based on the observation that a term appearing in the conditional
average log-likelihood function is the coefficient of a polynomial, and hence
can be transformed to a complex integral by Cauchy's differentiation formula.
The asymptotic analysis of the complex integral can then be performed using the
classical method of steepest descent. Our result implies that CMLE can be
biased if individual weights are multiplied with a constant, and that we should
be cautious when assigning weights to cluster-specific studies.

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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat