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arxiv: 0809.3697 · v1 · submitted 2008-09-22 · 🧮 math.ST · math.PR· stat.AP· stat.TH

Grassmannian Estimation

classification 🧮 math.ST math.PRstat.APstat.TH
keywords grassmanniancentralcovariancecriteriondiscussesdistributionsestimateestimation
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This paper discusses the family of distributions on the Grassmannian of the linear span of r central gaussian vectors parametrized by the covariance matrix. Our main result is an existence and uniqueness criterion for the maximum likelihood estimate of a sample.

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