Related Distributions
Let X ~ Hypergeometric(, ) and .
- If then has a Bernoulli distribution with parameter .
- Let have a binomial distribution with parameters and ; this models the number of successes in the analogous sampling problem with replacement. If and are large compared to and is not close to 0 or 1, then and have similar distributions, i.e., .
- If is large, and are large compared to and is not close to 0 or 1, then
where is the standard normal distribution function
- If the probabilities to draw a white or black marble are not equal (e.g. because their size is different) then has a Noncentral hypergeometric distribution
Read more about this topic: Hypergeometric Distribution
Famous quotes containing the word related:
“So universal and widely related is any transcendent moral greatness, and so nearly identical with greatness everywhere and in every age,—as a pyramid contracts the nearer you approach its apex,—that, when I look over my commonplace-book of poetry, I find that the best of it is oftenest applicable, in part or wholly, to the case of Captain Brown.”
—Henry David Thoreau (1817–1862)