numpy.random.chisquare¶

numpy.random.
chisquare
(df, size=None)¶ Draw samples from a chisquare distribution.
When df independent random variables, each with standard normal distributions (mean 0, variance 1), are squared and summed, the resulting distribution is chisquare (see Notes). This distribution is often used in hypothesis testing.
Note
New code should use the
chisquare
method of adefault_rng()
instance instead; see randomquickstart. Parameters
 dffloat or array_like of floats
Number of degrees of freedom, must be > 0.
 sizeint or tuple of ints, optional
Output shape. If the given shape is, e.g.,
(m, n, k)
, thenm * n * k
samples are drawn. If size isNone
(default), a single value is returned ifdf
is a scalar. Otherwise,np.array(df).size
samples are drawn.
 Returns
 outndarray or scalar
Drawn samples from the parameterized chisquare distribution.
 Raises
 ValueError
When df <= 0 or when an inappropriate size (e.g.
size=1
) is given.
See also
Generator.chisquare
which should be used for new code.
Notes
The variable obtained by summing the squares of df independent, standard normally distributed random variables:
is chisquare distributed, denoted
The probability density function of the chisquared distribution is
where is the gamma function,
References
 1
NIST “Engineering Statistics Handbook” https://www.itl.nist.gov/div898/handbook/eda/section3/eda3666.htm
Examples
>>> np.random.chisquare(2,4) array([ 1.89920014, 9.00867716, 3.13710533, 5.62318272]) # random