An expository account of the recent theory of nonparametric inference on manifolds is presented here, with outlines of proofs and examples. Much of the theory centers around Fréchet means; but functional estimation and classification methods using nonparametric Bayes theory are also indicated. Applications in paleomagnetism, morphometrics and medical diagnostics illustrate the theory.
CITATION STYLE
Bhattacharya, R. (2013). A nonparametric theory of statistics on manifolds. In Springer Proceedings in Mathematics and Statistics (Vol. 42, pp. 173–205). Springer New York LLC. https://doi.org/10.1007/978-3-642-36068-8_9
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