Planck-Tapered Conditional Ratio Power Law

planck_tapered_conditional_ratio_power_law ¶

Conditional ratio power law distribution with Planck tapering.

Functions¶

planck_tapered_conditional_ratio_power_law_unnormalized_logpdf ¶

planck_tapered_conditional_ratio_power_law_unnormalized_logpdf(x: Array, denominator: Array, beta: float, numerator_minimum: float, taper_range: float) -> Array

Compute the unnormalized logpdf of Planck tapered conditional ratio power law distribution.

Parameters:

Name	Type	Description	Default
`x`	`Array`	An array of values to evaluate the unnormalized logpdf.	required
`denominator`	`Array`	Denominator.	required
`beta`	`float`	Spectral index of the ratio.	required
`numerator_minimum`	`float`	Minimum of the numerator.	required
`taper_range`	`float`	Range of the tapering.	required

Returns:

Type	Description
`Array`	Unnormalized logpdf.

planck_tapered_conditional_ratio_power_law_cdf ¶

planck_tapered_conditional_ratio_power_law_cdf(denominator: Array, beta: float, numerator_minimum: float, taper_range: float, minimum: float, maximum: float, n_grids: int) -> tuple[Array, Array]

Compute the cdf of Planck tapered conditional ratio power law distribution.

Parameters:

Name	Type	Description	Default
`denominator`	`Array`	Denominator.	required
`beta`	`float`	Spectral index of the ratio.	required
`numerator_minimum`	`float`	Minimum of the numerator.	required
`taper_range`	`float`	Range of the tapering.	required
`minimum`	`float`	Minimum of the ratio.	required
`maximum`	`float`	Maximum of the ratio.	required
`n_grids`	`int`	Number of grid points to evaluate the CDF.	required

Returns:

Name	Type	Description
`x`	`Array`	Grid points to evaluate the CDF.
`cdf`	`Array`	Cumulative distribution function.