arch.univariate.distribution.Distribution¶

class arch.univariate.distribution.Distribution(random_state: RandomState | None = None, *, seed: None | int | RandomState | Generator = None)[source]¶

Template for subclassing only

Methods

bounds(resids)	Parameter bounds for use in optimization.
cdf(resids[, parameters])	Cumulative distribution function
constraints()	Construct arrays to use in constrained optimization.
loglikelihood(parameters, resids, sigma2[, ...])	Loglikelihood evaluation.
moment(n[, parameters])	Moment of order n
parameter_names()	Names of distribution shape parameters
partial_moment(n[, z, parameters])	Order n lower partial moment from -inf to z
ppf(pits[, parameters])	Inverse cumulative density function (ICDF)
simulate(parameters)	Simulates i.i.d.
starting_values(std_resid)	Construct starting values for use in optimization.

Properties

generator	The NumPy Generator or RandomState attached to the distribution
name	The name of the distribution
random_state	The NumPy RandomState attached to the distribution