Logistic distribution

The logistic distribution is also known as the sech-squared distribution.

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

CDF of the logistic distribution.

mpsci.distributions.logistic.invcdf(p, loc=0, scale=1)

Inverse CDF of the logistic distribution.

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

mpsci.distributions.logistic.invsf(p, loc=0, scale=1)

Inverse survival function of the logistic distribution.

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

Logarithm of the PDF of the logistic distribution.

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

Mean of the logistic distribution.

mpsci.distributions.logistic.mle(x)

Maximum likelihood estimate for the logistic distribution.

x must be a sequence of numbers.

Returns (loc, scale).

This function uses mp.findroot to numerically solve for the maximum likelihood estimate.

mpsci.distributions.logistic.mom(x)

Method of moments parameter estimation for the logistic distribution.

x must be a sequence of numbers.

Returns (loc, scale).

mpsci.distributions.logistic.nll(x, loc, scale)

Negative log-likelihood function for the logistic equation.

x must be a sequence of numbers.

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

PDF of the logistic distribution.

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

Survival function of the logistic distribution.

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

Support of the logistic distribution.

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

Variance of the logistic distribution.