Nakagami distribution

See https://en.wikipedia.org/wiki/Nakagami_distribution.

The parametrization used here matches that of SciPy:

• ν > 0 is the shape parameter (same as m in the wikipedia article).

• loc is the location parameter. (The wikipedia article does not include a location parameter for the distribution.)

• scale is the scale parameter. (scale = sqrt(Ω), where Ω is the “spread” parameter used in the wikipedia article.

When ν = 1/2, the distribution is a half-normal distribution. For ν < 1/2, the PDF is 0 at x = 0; for ν > 1/2, the PDF approaches infinity as x approaches 0.

mpsci.distributions.nakagami.cdf(x, nu, loc=0, scale=1)

Cumulative distribution function for the Nakagami distribution.

mpsci.distributions.nakagami.entropy(nu, loc=0, scale=1)

Differential entropy of the Nakagami distribution.

mpsci.distributions.nakagami.logpdf(x, nu, loc=0, scale=1)

Natural logarithm of the PDF of the Nakagami distribution.

mpsci.distributions.nakagami.mean(nu, loc=0, scale=1)

Mean of the Nakagami distribution.

mpsci.distributions.nakagami.mle(x, *, nu=None, loc=None, scale=None)

Maximum likelihood parameter estimation for the Nakagami distribution.

x must be a sequence of numbers.

Returns (nu, loc, scale).

Currently a fixed loc must be given.

mpsci.distributions.nakagami.nll(x, nu, loc, scale)

Negative log-likelihood function for the Nakagami distribution.

mpsci.distributions.nakagami.pdf(x, nu, loc=0, scale=1)

Probability density function for the Nakagami distribution.

mpsci.distributions.nakagami.sf(x, nu, loc=0, scale=1)

Survival function for the Nakagami distribution.

mpsci.distributions.nakagami.support(nu, loc=0, scale=1)

Support of the Nakagami distribution.

mpsci.distributions.nakagami.var(nu, loc=0, scale=1)

Variance of the Nakagami distribution.