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.
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