Hall was an author in probability and statistics.
MathSciNet lists 606 publications as of January 2016. He made contributions to nonparametric statistics, in particular for curve estimation and resampling: the bootstrap method, smoothing, density estimation, and bandwidth selection. He worked on numerous applications across fields of economics, engineering, physical science and biological science. Hall also made contributions to surface roughness measurement using fractals. In probability theory he made many contributions to limit theory, spatial processes and
stochastic geometry. His paper "Theoretical comparison of bootstrap confidence intervals" (Annals of Statistics, 1988) has been reprinted in the
Breakthroughs in Statistics collection. He was an
Australian Research Council (ARC) Laureate Fellow at the School of Mathematics and Statistics,
University of Melbourne, and also had a joint appointment at
University of California Davis. He previously held a professorship at the Centre for Mathematics and its Applications at the
Australian National University.
Honours and awards His awards and honours included: • 2015 Fellow of the Academy of Social Sciences in Australia • 2013 Foreign Associate,
National Academy of Sciences • 2013 Officer of the Order of Australia • 2012
Wilks Memorial Award • 2011
Australian Laureate Fellowship • 2011
Guy Medal in Silver • 2010
George Szekeres Medal • 2009 Honorary Doctor of Science degree from The University of Sydney • 2007
Matthew Flinders Medal and Lecture • 2000 Elected a
Fellow of the Royal Society (FRS) • 1996 Fellow of the
American Statistical Association • 1994
Hannan Medal of the
Australian Academy of Science • 1990 Pitman Medal from the
Statistical Society of Australia • 1989
Committee of presidents of Statistical Societies Award • 1987
Fellow of the Australian Academy of Science • 1986
Rollo Davidson Prize,
University of Cambridge • 1986
Australian Mathematical Society Medal • 1986
Edgeworth David Medal, Royal Society of New South Wales • 1984 Fellow of
Institute of Mathematical Statistics Published books • P. Hall; C.C. Heyde (1980):
Martingale Limit Theory and its Application, Academic Press, New York. • P. Hall (1982):
Rates of Convergence in the Central Limit Theorem, Pitman, London. • P. Hall (1988):
Introduction to the Theory of Coverage Processes, Wiley, New York. • P. Hall (1992):
The Bootstrap and Edgeworth Expansion, Springer, New York. ==Personal life==