Chi distribution

mpsci.distributions.chi.cdf(x, k)

CDF for the chi distribution.

mpsci.distributions.chi.entropy(k)

Differential entropy of the chi distribution.

mpsci.distributions.chi.logpdf(x, k)

Logarithm of the PDF for the chi distribution.

mpsci.distributions.chi.mean(k)

Mean of the chi distribution.

mpsci.distributions.chi.mode(k)

Mode of the chi distribution.

The mode is $\sqrt{k - 1}$ for $k \ge 1$.

For $0 < k < 1$, 0 is returned.

mpsci.distributions.chi.noncentral_moment(n, k)

n-th noncentral moment of the chi distribution.

n must be a nonnegative integer.

mpsci.distributions.chi.pdf(x, k)

PDF for the chi distribution.

The PDF is

$$f(x; k) = \frac{x^{k-1}e^{-x^2/2}}{2^{k/2-1}\Gamma\left(\frac{k}{2}\right)}$$

for $x \ge 0$.

mpsci.distributions.chi.sf(x, k)

Survival function for the chi distribution.

mpsci.distributions.chi.support(k)

Support for the chi distribution.

mpsci.distributions.chi.var(k)

Variance of the chi distribution.