Hypergeometric distribution
Discrete probability distribution / From Wikipedia, the free encyclopedia
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Not to be confused with Geometric distribution.
In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with that feature, wherein each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of successes in draws with replacement.
Quick Facts Parameters, Support ...
Probability mass function | |||
Cumulative distribution function | |||
Parameters | |||
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Support | |||
PMF | |||
CDF | where is the generalized hypergeometric function | ||
Mean | |||
Mode | |||
Variance | |||
Skewness | |||
Excess kurtosis |
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MGF | |||
CF |
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