pystra.distributions.parent.MaxParent#

class MaxParent(name, max_dist, N, input_type=None, startpoint=None)[source]#

Bases: Distribution

Parent distribution of the provided distribution which represents the distribution of maxima of a random variable.

For example, given an annual maximum distribution of imposed load, find the parent distribution of imposed load, if the load is applied 6 times per year.

Attributes:

name (str): Name of the random variable
mean (float): Mean
stdv (float): Standard deviation
maximum (Distribution): Distribution of maximum object
N (float): Power to which distribution is raised
input_type (any): Change meaning of mean and stdv
startpoint (float): Start point for seach

Methods

`cdf`	Cumulative distribution function
`getMean`
`getName`
`getStartPoint`
`getStdv`
`jacobian`	Compute the Jacobian (e.g.
`pdf`	Probability density function
`plot`	Plots the PDF of the distribution
`ppf`	inverse cumulative distribution function
`sample`	Return a sample of the distribution of length n
`setStartPoint`
`set_exponent`	Update the parent distribution exponent parameter.
`set_location`	Updating the parent distribution location parameter.
`set_scale`	Updating the parent distribution scale parameter.
`u_to_x`	Transformation from u to x
`x_to_u`	Transformation from x to u
`zero_distn`

Attributes

std_normal

pdf(x)[source]#: Probability density function

cdf(x)[source]#: Cumulative distribution function

ppf(p)[source]#: inverse cumulative distribution function

u_to_x(u)[source]#: Transformation from u to x

x_to_u(x)[source]#: Transformation from x to u

jacobian(u, x)[source]#: Compute the Jacobian (e.g. Lemaire, eq. 4.9)

set_location(loc=0)[source]#: Updating the parent distribution location parameter.

set_scale(scale=1)[source]#: Updating the parent distribution scale parameter.

set_exponent(N=2)[source]#: Update the parent distribution exponent parameter.

plot(ax=None, **kwargs)#: Plots the PDF of the distribution

sample(n=1000)#: Return a sample of the distribution of length n