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October 2016 Peter Hall, functional data analysis and random objects
Hans-Georg Müller
Ann. Statist. 44(5): 1867-1887 (October 2016). DOI: 10.1214/16-AOS1492


Functional data analysis has become a major branch of nonparametric statistics and is a fast evolving field. Peter Hall has made fundamental contributions to this area and its theoretical underpinnings. He wrote more than 25 papers in functional data analysis between 1998 and 2016 and from 2005 on was a tenured faculty member with a 25% appointment in the Department of Statistics at the University of California, Davis. This article describes aspects of his appointment and academic life in Davis and also some of his major results in functional data analysis, along with a brief history of this area. It concludes with an outlook on new types of functional data and an emerging field of “random objects” that subsumes functional data analysis as it deals with more complex data structures.


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Hans-Georg Müller. "Peter Hall, functional data analysis and random objects." Ann. Statist. 44 (5) 1867 - 1887, October 2016.


Received: 1 June 2016; Published: October 2016
First available in Project Euclid: 12 September 2016

zbMATH: 1349.62011
MathSciNet: MR3546436
Digital Object Identifier: 10.1214/16-AOS1492

Primary: 62G05
Secondary: 62G07 , 62G20

Keywords: functional classification , functional principal component analysis , functional regression , modes and densities for functional data

Rights: Copyright © 2016 Institute of Mathematical Statistics


Vol.44 • No. 5 • October 2016
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