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SUMMARY:Queues\, collisions and extremes of integral mean of stationary Ga
 ussian processes - Debicki\, K (Wroclaw)
DTSTART:20100504T140000Z
DTEND:20100504T150000Z
UID:TALK24805@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Let {Z(t):t>0} be a centered stationary Gaussian process with 
 continuous sample paths a.s. \n\nThe talk will be focused on the analysis 
 of the asymptotics of P(sup{(1/t)int_0^t Z(s)ds>u) as u->oo. \n\nAs an app
 lication of the considered problem\, we will derive the exact asymptotics 
 of \n\n- the probability of buffer emptiness for a Gaussian fluid gueue un
 der many-sources regime\; \n\n- the probability of a collision of differen
 tiable Gaussian stochastic processes with stationary increments. \n\nThe t
 alk is based on a joint work with Kamil Tabi's.\n
LOCATION:Seminar Room 1\, Newton Institute
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