Log-logistic distribution

The log-logistic distribution is the probability distribution of a random variable whose logarithm has a logistic distribution.

The distribution is also known as the Fisk distribution.

The distribution has two parameters, beta and scale. beta is a shape parameter.

mpsci.distributions.loglogistic.cdf(x, beta, scale)

CDF of the log-logistic distribution.

mpsci.distributions.loglogistic.invcdf(p, beta, scale)

Inverse CDF of the log-logistic distribution.

This function is also known as the quantile function or the percent point function.

mpsci.distributions.loglogistic.invsf(p, beta, scale)

Inverse survival function of the log-logistic distribution.

mpsci.distributions.loglogistic.logpdf(x, beta, scale)

Logarithm of the PDF of the log-logistic distribution.

mpsci.distributions.loglogistic.mean(beta, scale)

Mean of the log-logistic distribution.

nan is returned if beta <= 1.

mpsci.distributions.loglogistic.noncentral_moment(n, beta, scale)

Noncentral moment (i.e. raw moment) of the log-logistic distribution.

n is the order of the moment to be computed.

The moment does not exist if n >= beta. nan is returned in that case.

mpsci.distributions.loglogistic.pdf(x, beta, scale)

PDF of the log-logistic distribution.

mpsci.distributions.loglogistic.sf(x, beta, scale)

Survival function of the log-logistic distribution.

mpsci.distributions.loglogistic.support(beta, scale)

Support of the log-logistic distribution.

mpsci.distributions.loglogistic.var(beta, scale)

Variance of the log-logistic distribution.

nan is returned if beta <= 2.