dask 2021.10.0

NotesParametersRaisesReturns
chisquare(self, df, size=None, chunks='auto', **kwargs)

This docstring was copied from numpy.random.mtrand.RandomState.chisquare.

Some inconsistencies with the Dask version may exist.

When :None:None:`df` independent random variables, each with standard normal distributions (mean 0, variance 1), are squared and summed, the resulting distribution is chi-square (see Notes). This distribution is often used in hypothesis testing.

note

New code should use the chisquare method of a default_rng() instance instead; please see the :None:ref:`random-quick-start`.

Notes

The variable obtained by summing the squares of :None:None:`df` independent, standard normally distributed random variables:

$$Q = \sum_{i=0}^{\mathtt{df}} X^2_i$$

is chi-square distributed, denoted

$$Q \sim \chi^2_k.$$

The probability density function of the chi-squared distribution is

$$p(x) = \frac{(1/2)^{k/2}}{\Gamma(k/2)}x^{k/2 - 1} e^{-x/2},$$

where $\Gamma$ is the gamma function,

$$\Gamma(x) = \int_0^{-\infty} t^{x - 1} e^{-t} dt.$$

Parameters

df : float or array_like of floats

Number of degrees of freedom, must be > 0.

size : int or tuple of ints, optional

Output shape. If the given shape is, e.g., (m, n, k) , then m * n * k samples are drawn. If size is None (default), a single value is returned if df is a scalar. Otherwise, np.array(df).size samples are drawn.

Raises

ValueError

When :None:None:`df` <= 0 or when an inappropriate :None:None:`size` (e.g. size=-1 ) is given.

Returns

out : ndarray or scalar

Drawn samples from the parameterized chi-square distribution.

Draw samples from a chi-square distribution.

See Also

Generator.chisquare

which should be used for new code.

Examples

This example is valid syntax, but we were not able to check execution
>>> np.random.chisquare(2,4)  # doctest: +SKIP
array([ 1.89920014,  9.00867716,  3.13710533,  5.62318272]) # random
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