Tid: 20 mars 2000 kl 1515-1700
Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!
Föredragshållare: Patrik Albin, Matematisk statistik, Chalmers Tekniska Högskola. Publikationslista.
Titel: On extremes and streams of upcrossings
Sammanfattning:
Let be a real-valued and
-continuous (continuous in probability) stationary
stochastic process. We study and characterize asymptotic (as eg,
)
relations between the probability
Probability starts above
+
upcrossing intensity
so it is natural to expect a relation to the
probability of exceedance of the level .
Examples of Application include Markov jump processes, stable processes, and quadratic functionals of Gaussian processes.