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Some new aspects for the random coupon collector's problem

2014
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Am. J. Probab. Math. Stat
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unpublished

Let T N be the number of coupons that a collector has to buy in order to find all N existing different coupons. The probabilities p n (occurring frequencies) of the coupons are taken to be identically distributed random variables. We develop techniques of computing the asymptotics of the expectation of T N (T N + 1), where X denotes average, given the p n 's. Using these asymptotics we derive the leading behavior of the expectation of V (T N), where V (T N) is the variance of T N , given the p

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