The hypergeometric distribution
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The hypergeometric distribution describes the probability of
successes in 
draws
from a finite population size 
containing 
successes
without replacement. This contrasts with the binomial
distribution which describes the probability of successes
in draws with
replacement
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Distribution name
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Hypergeometric
distribution
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Common notation
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|
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Parameters
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=
population size, integral ( )
=
sample size, integral ( )
=
number of tagged items, integral ( )
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Domain
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Probability mass
function
|
|
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Cumulative distribution
function
|
where
 is the
generalised hypergeometric function, i.e.
and  involves the
rising factorial or Pochhammer notation, i.e.  and 
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Mean
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Variance
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Skewness
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(Excess) kurtosis
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where
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Characteristic function
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Nematrian web functions
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “hypergeometric”.
For details of other supported probability distributions see here.
NAVIGATION LINKS
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