A survey of high dimension low sample size asymptotics.

Aust N Z J Stat

Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, NC 27514, USA.

Published: March 2018

Peter Hall's work illuminated many aspects of statistical thought, some of which are very well known including the bootstrap and smoothing. However, he also explored many other lesser known aspects of mathematical statistics. This is a survey of one of those areas, initiated by a seminal paper in 2005, on high dimension low sample size asymptotics. An interesting characteristic of that first paper, and of many of the following papers, is that they contain deep and insightful concepts which are frequently surprising and counter-intuitive, yet have mathematical underpinnings which tend to be direct and not difficult to prove.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6124695PMC
http://dx.doi.org/10.1111/anzs.12212DOI Listing

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