Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information criteria for inhomogeneous spatial point processes   The theoretical foundation for a number of model selection criteria is
established in the context of inhomogeneous point processes and under various
asymptotic settings: infill, increasing domain, and combinations of these. For
inhomogeneous Poisson processes we consider Akaike information criterion and
the Bayesian information criterion, and in particular we identify the point
process analogue of sample size needed for the Bayesian information criterion.
Considering general inhomogeneous point processes we derive new composite
likelihood and composite Bayesian information criteria for selecting a
regression model for the intensity function. The proposed model selection
criteria are evaluated using simulations of Poisson processes and cluster point
processes.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin