| 1. | This gives a slightly different distribution known as Wallenius'noncentral hypergeometric distribution.
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| 2. | Use the hypergeometric distribution for the first " l-1 " picks.
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| 3. | Unfortunately, both distributions are known in the literature as " the " noncentral hypergeometric distribution.
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| 4. | Use the hypergeometric distribution to calculate the probabilities.
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| 5. | The matter is complicated by the fact that there is more than one noncentral hypergeometric distribution.
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| 6. | Fisher's noncentral hypergeometric distribution is obtained if the balls are sampled simultaneously or independently of each other.
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| 7. | Assuming you sampled without replacement, you'd need to use the hypergeometric distribution to do an exact test.
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| 8. | The distribution of the balls not taken can be called the "'complementary Wallenius'noncentral hypergeometric distribution " '.
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| 9. | I've found nothing relevant in the see also sections of Hypergeometric distribution, Coupon collector's problem, & Birthday problem.
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| 10. | In that case you obtain a hypergeometric distribution .-- Talk 19 : 29, 10 October 2006 ( UTC)
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