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UID:0c887200edccc47faebf588412321a5e
DTSTAMP:20260307T152934Z
SUMMARY:Statistics Seminar: Ilya Molchanov (University of Bern)
DESCRIPTION:14:00 – 15:00 – Ilya Molchanov (University of Bern)\nTitle:
  Poisson hulls\nAbstract:  We introduce a hull operator on Poisson point 
 processes\, the easiest example being the convex hull of the support of a 
 point process in Euclidean space. Assuming that the intensity measure of t
 he process is known on the set generated by the hull operator\, we discuss
  estimation of an expected linear statistic built on the Poisson process.
   In special cases\, our general scheme yields an estimator of the volume
  of a convex body or an estimator of an integral of a H\\”older function
 . We show that the estimation error is given by the Kabanov–Skorohod int
 egral with respect to the underlying Poisson process. A crucial ingredient
  of our approach is a spatial strong Markov property of the underlying Poi
 sson process with respect to the hull.  We derive the rate of normal conv
 ergence for the estimation error\, and illustrate it on an application to 
 estimators of integrals of a H\\”older function.\nThis is a joint work w
 ith Guenter Last (Karlsruhe).\nRefreshments available between 15:00 – 15
 :30\, Huxley Common Room (HXLY 549)
URL:https://www.imperial.ac.uk/events/203030/statistics-seminar-ilya-molcha
 nov-university-of-bern/
DTSTART;TZID=Europe/London:20260206T140000
DTEND;TZID=Europe/London:20260206T150000
LOCATION:HXLY139\, Huxley Building\, South Kensington Campus\, Imperial Col
 lege London\, London\, SW7 2AZ\, United Kingdom
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