**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

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.