b***l 发帖数: 15 | 1 multinomial distribution with parameter (p,p,...,1-np) where n is the number
of distinct coupons each with probability of p, and 1-np is the probability
of a junk.
The questions is: what is the distribution of numbers of distinct coupons
collected if a sample of N coupons are collected? (same coupon collected
multiple times counts only once.)
看似很简单,但是我没有找到一个很简洁的答案。针对这个特殊的例子(all distinct
coupons have the same probability), 我用了个 Markov Chain 去解决。是不是有
更简单,更 general 的公式呢? |
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