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Geometry and marginals

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  • Noakes, Lyle
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    Abstract

    It is known that observations of a real-valued random variable defined over a smooth manifold M can be used to make inferences about M, at least when M is a curve or surface. We refine and extend the underlying asymptotic results and remove the condition . New examples of nonsmoothness in marginals are described in detail for , and methods are given for calculations in general.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 98 (2007)
    Issue (Month): 1 (January)
    Pages: 194-208

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    Handle: RePEc:eee:jmvana:v:98:y:2007:i:1:p:194-208

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    Related research

    Keywords: Marginal distribution Manifold Morse function Critical point;

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