Tid: 27 mars 2006 kl 1615-1700

Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!

Föredragshållare: Anna Franzén.

Titel: On the number of consecutive successes in Bernoulli trials. (Examensarbete)

Sammanfattning: In a sequence of independent Bernoulli trials a success occurs in trial k with probability pk. In this thesis the total number of r consecutive successes in n trials, rRn, is studied. Recursions for the probability generating function, the falling factorial moments and probabilities are found. The case with r=3 and pk=λ/(μ+k-1) is studied in more detail.

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