Tid: 14 oktober 1996 kl 1515-1700
Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!
Föredragshållare: F.W. Steutel
Titel: The number of (almost) maxima in a sample
Sammanfattning:
Consider n independent copies, 
, of a
random variable 
having a discrete (continuous) distribution, and let
. In the discrete case there may be
repetitions of 
. In
the continuous case this has probability zero, but there may be sample values
close to
(almost maxima).
After a review of results in the discrete case, some new results are given
for the number of almost repetitions as n tends to infinity, and the distance to
tends to zero in a suitable way.