popsynth.distributions.pareto_distribution module

class popsynth.distributions.pareto_distribution.ParetoDistribution(seed: int = 1234, name: str = 'pareto')

Bases: LuminosityDistribution

Lmin

alpha

__init__(seed: int = 1234, name: str = 'pareto')

A Pareto luminosity function.

alpha``*``Lmin``^``alpha / L^(``alpha``+1)

Parameters

• seed (int) – Random seed

• name (str) – Name of the distribution

• Lmin (DistributionParameter) – Minimum value of the luminosity

• alpha (DistributionParameter) – Index of the pareto distribution

phi(L)

The functional form of the distribution. not required for sampling :param luminosity: Luminosity

draw_luminosity(size: int = 1)

function to draw the luminosity via an alternative method must be implemented in child class

Parameters

size –

Returns