课程描述 DescriptionContent: Research results of the Instructor.Topics include : MLE's Bias Pathology, model updated MLE and Wallace's MM method. Artificially augmented samples, shrinkage and MSE reduction.Elegant Nonparametric Estimation of a density and Matching Estimation with convergence rates via Minimum Distance Methods. Tukey's Poly-efficiency. More topics if time permits.预备知识 Prereq...
AbstractWhile classical statistics has dealt with observations which are real numbers or elements of a real vector space, nowadays many statistical problems of high interest in the sciences deal with the analysis of data which consist of more complex objects, taking values in spaces which are naturally not (Euclidean) vector spaces but which still feature some geometric structure. The manifold ...
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