Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series A, Pt. 2 , pp. 369--374

A GENERALIZATION OF A WAITING TIME PROBLEM

By

B. S. EL-DESOUKY and S. A. HUSSEN, Faculty of Science, Aswan, Egypt

SUMMARY. An urn contains m different types of unequal numbers, with ni balls of type i, i=1,2..m. Balls are drawn with replacement until first duplication. In the case of finite memory of order k, the distribution of Ym,k, the number of drawings required is given. Special cases are obtained.

AMS(1980) subject classification. 60C05.

Key words and phrases. Sampling with replacement, waiting time distribution, finite memory distribution.

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