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SUMMARY:Thinning-stable point processes: new models in telecommunications 
 - Zuyev\, S (Gothenburg)
DTSTART:20100409T100000Z
DTEND:20100409T110000Z
UID:TALK24081@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Point processes recently gained recognition in modelling diffe
 rent aspects of telecommunication systems: network components\, mobile cus
 tomers\, infrastructure\, etc.\nIn many  cases though the underlying syste
 m shows highly irregular spatial\ncharacteristics: number requests service
 d by a web-server varies hugely as a function of popularity and happening 
 events. Number of active mobile users calling during popular events: footb
 all match\, rock concert differs in order of magnitudes from normal period
 s. This calls for development of point process models exhibiting such burs
 ty behaviour\, in time or in space.\n\nWe introduce a wide class of point 
 processes which generally have infinite expected number of points in a bou
 nded domain\, yet they appear unavoidably as limit in the thinning-superpo
 sition of point processes schemes. We show that these processes are necess
 arily Cox processes driven by strictly stable parameter measure and give i
 nsight into their cluster structure and further distributional properties.
LOCATION:Seminar Room 1\, Newton Institute
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