Geometry and marginals

Lyle Noakes

Journal of Multivariate Analysis, 2007, vol. 98, issue 1, 194-208

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.

Keywords: Marginal; distribution; Manifold; Morse; function; Critical; point (search for similar items in EconPapers)
Date: 2007
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