Wiki
Clone wikicosmosis / default_modules / Extreme_Value_Statistics_1.0
Extreme_Value_Statistics module
PDF of the maximum cluster mass given cosmological parameters
Name: Extreme_Value_Statistics
File: cosmosis-standard-library/likelihood/cluster_evs/cluster_evs.py
Version: 1.0
Author(s):
- Harrison & Coles 2012
- CosmoSIS team (code)
URL:
Cite:
- Harrison and Coles, MNRAS 421 2012
Rules:
- None.
Assumptions:
- FRW cosmological model
Explanation
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
##Parameters
These parameters can be set in the module's section in the ini parameter file.
If no default is specified then the parameter is required.
| Parameter | Description |
|---|---|
| feedback | verbose = 1 |
| redshift | float, output z of cluster where integration limits: zmin = z - 0.02, zmax = z + 0.02 |
| output_pdf | bool, if True, output PDF for range of masses, only recommended for test runs (default = False) |
| frac | float, fraction of the sky observed between zmin and zmax (default = 1.0) |
| M_min | float, minimum mass for PDF in M_sun/h (default = 1.E14) |
| M_max | float, maximum mass for PDF in M_sun/h (default = 2.E15) |
| n_m | int, number of log-spaced masses for PDF (default = 100) |
##Inputs
These parameters and data are inputs to the module, either supplied as parameters by the sampler or computed by some previous module. They are loaded from the data block.
| Section | Parameter | Description |
|---|---|---|
| cosmological_parameters | h0 | real, hubble parameter H0/(100 km/s/Mpc) |
| omega_m | real, Omega matter | |
| distances | z | real 1D array, redshifts |
| d_a | real, angular diameter distance as a function of z | |
| mass_function | z | real 1D array, redshifts |
| r_h | real 1D array, radii (Mpc/h) | |
| dndlnmh | real 1D array, mass function (h^3 Mpc^-3) |
##Outputs
These parameters and data are computed as outputs from the module
| Section | Parameter | Description |
|---|---|---|
| evs | m | real 1D array, mass (M_sun/h) (if output_pdf=True) |
| logphi | real 1D array, log of PDF (if output_pdf=True) | |
| likelihoods | evs_like | real, likelihood of M_max |
Updated