smail¶
- skypy.galaxies.redshift.smail(z_median, alpha, beta, size=None)[source] [edit on github]¶
Redshifts following the Smail et al. (1994) model.
The redshift follows the Smail et al. [1] redshift distribution.
- Parameters:
- z_medianfloat or array_like of floats
Median redshift of the distribution, must be positive.
- alphafloat or array_like of floats
Power law exponent (z/z0)^alpha, must be positive.
- betafloat or array_like of floats
Log-power law exponent exp[-(z/z0)^beta], must be positive.
- sizeNone or int or tuple
Size of the output. If
None, the size is inferred from the arguments. Default is None.
Notes
The probability distribution function \(p(z)\) for redshift \(z\) is given by Amara & Refregier [2] as
\[p(z) \sim \left(\frac{z}{z_0}\right)^\alpha \exp\left[-\left(\frac{z}{z_0}\right)^\beta\right] \;.\]This is the generalised gamma distribution.
References