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Timeline for What is this distribution?

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Jul 5, 2018 at 7:50 vote accept Kurisuto Asutora
Jul 4, 2018 at 22:42 comment added kodlu Given you have $k$ coupons the waiting time $W_k$ for the next coupon is has Geometric distribution with success probability $(M-k)/M$ and expectation $M/(M-k)$. Summing for $k=0,\ldots,M-1$ gives expected wait for all coupons as $M H_M=M(\ln M+\gamma).$ with the Euler-Mascheroni constant making an appearence. Due to independence of the $W_k$ the variance is also easy to obtain.
Jul 4, 2018 at 18:46 answer added Carlo Beenakker timeline score: 3
Jul 4, 2018 at 18:36 review Close votes
Jul 6, 2018 at 17:20
Jul 4, 2018 at 18:31 comment added Nate Eldredge See forinstance sites.google.com/site/rbeeman976/home/collector
Jul 4, 2018 at 18:27 comment added Nate Eldredge This is a version of the coupon collector's problem, so you'd probably find the answer in the related literature.
Jul 4, 2018 at 18:05 history asked Kurisuto Asutora CC BY-SA 4.0