EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 47(61), pp. 151--157 (1990)

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ON THE DISTRIBUTION OF WAITING TIME UNTIL $k$-TH REPETITION OF ANY EVENT

Dragan Banjevi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: The random placing of balls continues until we find that one of boxes has been occupied $k$ times, $k\ge2$ (``birthday surprise''). The case of unlimited number of alternatives with unequal probabilities is discussed. Some exact and asymptotic formulas for the distribution of waiting time are given.

Classification (MSC2000): 60C05; 60J10

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition