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WAITING TIME IN THE COUPON‐COLLECTOR'S PROBLEM 1
Author(s) -
Nath Harmindar B.
Publication year - 1973
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1973.tb00018.x
Subject(s) - coupon , mathematics , variance (accounting) , hypergeometric function , generating function , hypergeometric distribution , statistics , probability distribution , distribution (mathematics) , function (biology) , combinatorics , mathematical analysis , economics , accounting , finance , evolutionary biology , biology
Summary The coupon collector's problem is generalized by allowing unequal proportions of the various types of coupons. The upper tail probabilities are used to find the probability distribution of the waiting time. The probability generating function is expressed in terms of the hypergeometric functions and therefrom the mean and the variance are derived.