Extreme_Value_Statistics¶
PDF of the maximum cluster mass given cosmological parameters
File |
likelihood/cluster_evs/cluster_evs.py |
Attribution |
Harrison & Coles 2012 |
CosmoSIS team (code) |
|
URL |
|
Citations |
Harrison and Coles, MNRAS 421 2012 |
Computes the likelihood of the largest observed cluster near the specified redshift range being M_max, as loaded from the datablock, given the mass function.
Requires the mass function calculated from M_min to M_max, for example by mf_tinker module, run withwith redshift_zero=0 to generate dndlnm.
Optionally, can also generate a full PDF with output_pdf=T
Assumptions¶
FRW cosmological model
Setup Parameters¶
Name |
Type |
Default |
Description |
|---|---|---|---|
redshift |
real |
Output z of cluster where integration limits: zmin = z - 0.02, zmax = z + 0.02 |
|
output_pdf |
bool |
False |
If True, output PDF for range of masses, only recommended for test runs |
frac |
real |
1.0 |
Fraction of the sky observed between zmin and zmax |
M_min |
real |
1.0E14 |
Minimum mass for PDF in M_sun/h |
M_max |
real |
2.0E15 |
Maximum mass for PDF in M_sun/h |
n_m |
int |
100 |
Number of log-spaced masses for PDF |
Input values¶
Section |
Name |
Type |
Default |
Description |
|---|---|---|---|---|
cosmological_parameters |
h0 |
real |
Hubble parameter H0/(100 km/s/Mpc) |
|
omega_m |
real |
Omega matter |
||
distances |
z |
real 1d |
Redshifts |
|
d_a |
real |
Angular diameter distance as a function of z |
||
mass_function |
z |
real 1d |
Redshifts |
|
r_h |
real 1d |
Radii (Mpc/h) |
||
dndlnmh |
real 1d |
Mass function (h^3 Mpc^-3) |
Output values¶
Section |
Name |
Type |
Description |
|---|---|---|---|
evs |
m |
real 1d |
Mass (M_sun/h) (if output_pdf=True) |
logphi |
real 1d |
Log of PDF (if output_pdf=True) |
|
likelihoods |
evs_like |
real |
Likelihood of M_max |