= Peter Gavin Hall
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{title2=1951-2016}
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= Peter Hall
{disambiguate=statistician}
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<Peter Gavin Hall>, also cited as <Peter Hall (statistician)>, developed theory for the <bootstrap>, <nonparametric statistics> and approximation of <sampling distributions>. His professional society's memorial explicitly verifies the fuller identity and these research areas.https://imstat.org/2016/02/19/peter-hall-1951-2016/[IMS memorial, exact full name and research contributions]{ref}
His <The Bootstrap and Edgeworth Expansion by Peter Hall> explains how <Edgeworth expansions> refine a <normal approximation> using higher <cumulants>. Such expansions help analyze the error of a <bootstrap> approximation, including whether a transformed or studentized statistic achieves a higher order of accuracy. Smoothness and sampling assumptions matter: the presence of a formal expansion alone does not establish a uniformly accurate approximation.<The Bootstrap and Edgeworth Expansion by Peter Hall>[Chapter2, principles, smoothness and lattice qualifications]{ref}
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