@inproceedings{7fed2e5ce1df455c89a17b32587dd588,

title = "A nonparametric theory of statistics on manifolds",

abstract = "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 Fr{\'e}chet means; but functional estimation and classification methods using nonparametric Bayes theory are also indicated. Applications in paleomagnetism, morphometrics and medical diagnostics illustrate the theory.",

keywords = "Fr{\'e}chet mean, extrinsic inference, intrinsic inference, shape spaces",

author = "Rabi Bhattacharya",

note = "Funding Information: The author wishes to thank the referee for helpful suggestions. This research is supported by NSF grant DMS 1107053.",

year = "2013",

doi = "10.1007/978-3-642-36068-8_9",

language = "English (US)",

isbn = "9783642360671",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "173--205",

booktitle = "Limit Theorems in Probability, Statistics and Number Theory",

}