popsynth.distributions.pareto_distribution module¶

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

__init__(seed: int = 1234, name: str = 'pareto')[source]¶

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

draw_luminosity(size: int = 1)[source]¶

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

Parameters:	size –
Returns:

phi(L)[source]¶: The functional form of the distribution. not required for sampling :param luminosity: Luminosity