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
Distribution name
|
Hypergeometric
distribution
|
Common notation
|
|
Parameters
|
=
population size, integral ()
=
sample size, integral ()
=
number of tagged items, integral ()
|
Domain
|
|
Probability mass
function
|
|
Cumulative distribution
function
|
where
is the
generalised hypergeometric function, i.e.
and involves the
rising factorial or Pochhammer notation, i.e. and
|
Mean
|
|
Variance
|
|
Skewness
|
|
(Excess) kurtosis
|
where
|
Characteristic function
|
|
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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