Demography

Smoothing

Pure mathematics

Statistics

Large sample

Chromatography

Dimension (graph theory)

Dentistry

Mathematical statistics

Statistical physics

Physics

Calculus (dental)

Mathematics

Econometrics

Population

Sociology

Sample size determination

Mathematical economics

Medicine

Chemistry

Sample (material)

Survey sampling

Australian & New Zealand Journal of Statistics

Summary 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.

A survey of high dimension low sample size asymptotics