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, tex2html_wrap_inline7 , of a random variable tex2html_wrap_inline9 having a discrete (continuous) distribution, and let tex2html_wrap_inline11 . In the discrete case there may be repetitions of tex2html_wrap_inline13 . In the continuous case this has probability zero, but there may be sample values close to tex2html_wrap_inline13 (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 tex2html_wrap_inline13 tends to zero in a suitable way.

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