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BEGIN:VEVENT
DTSTAMP:20230223T231409Z
DTSTART:20230315T150000Z
DTEND:20230315T160000Z
SUMMARY:Yvik Swan - On the distance between discrete and continuous rando
m variables on the real line
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}z131-lehq16
oy-e2rgv5
DESCRIPTION:Yvik Swan (Universite Libre de Bruxelles) will speak in the P
robability seminar. (in-person)\n\nWe revisit Steinâ€™s method of approxim
ate computation of expectations\, here with the aim of comparing a discr
ete distribution on some ordered set $\\{x_1\,\\ldots\,x_n\\}\\subset \\
mathbb{R}$ and a continuous distribution on some interval $I\\subset\\ma
thbb{R}$. We obtain abstract bounds on Wasserstein and Kolmogorov distan
ces which we apply to several examples\, including (1) exponential appro
ximation of the spectrum of the Johnson graph\, (2) beta approximation o
f the Polya-Eggenberger distribution\, and (3) normal approximation of a
distribution arising in the many worlds interpretation of quantum mecha
nics. This is joint work with Gilles Germain (ULB).
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Maurice Priestley Room G.108\, Alan Turing Building\, Manchester
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