## FANDOM

33.175 Seiten

 Typus Verschleierung Bearbeiter Hindemith Gesichtet
Untersuchte Arbeit:
Seite: 138, Zeilen: 2-8
Quelle: Blei 2007
Seite(n): 1, Zeilen: 17ff
Thus, the l-th customer chooses a new unoccupied table with probability α/L — 1 + α, and an occupied table with probability nl/L — 1 + α, where nl is the number of people sitting at the table l. In the above, α is a scalar parameter of the process. One might acknowledge that the above does define a probability distribution. Let us denote by l' the number of different tables occupied after L customers have walked in. Then 1 ≦ l' ≦ L and it follows the above description that precisely l' tables are occupied. 2. The nth customer chooses the first unoccupied table with probability α / n−1+α , and an occupied table with probability c / n−1+α, where c is the number of people sitting at that table.

In the above, α is a scalar parameter of the process. One might check that the above does define a probability distribution. Let us denote by kn the number of different tables occupied after n customers have walked in. Then 1 ≦ kn ≦ n and it follows from the above description that precisely tables 1,..., kn are occupied.

 Anmerkungen Eine Quelle ist nicht angegeben. In der Quelle ist der Bruch typografisch korrekt dargestellt. Durch die Darstellung von Rh ist der Formel verfälscht, es musste α/(L — 1 + α) sein. Sichter (Hindemith), WiseWoman