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SUMMARY:Lower variance bounds for Poisson functionals
DTSTART;VALUE=DATE-TIME:20220804T140000Z
DTEND;VALUE=DATE-TIME:20220804T142000Z
DTSTAMP;VALUE=DATE-TIME:20240915T110749Z
UID:indico-contribution-1209@conference2.aau.at
DESCRIPTION:Lower bounds for variances are often needed to derive central
limit theorems. In this talk\, we establish a specific lower bound for the
variance of a Poisson functional that uses the difference operator of Mal
liavin calculus. \nPoisson functionals\, i.e. random variables that depend
on a Poisson process\, are widely used in stochastic geometry. In this ta
lk\, we show how to apply our lower variance bound to statistics of spatia
l random graphs\, the $L^p$ surface area of random polytopes and the volum
e of excursion sets of Poisson shot noise processes. This talk is based on
joint work with M. Schulte.\n\nhttps://conference2.aau.at/event/131/contr
ibutions/1209/
LOCATION:Universität Klagenfurt HS 3
URL:https://conference2.aau.at/event/131/contributions/1209/
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