halomod.cross_correlations.ConstantCorr

class halomod.cross_correlations.ConstantCorr(hods, **model_params)

Bases: _HODCross

Correlation relation for constant cross-correlation pairs.

R_cs(m)

The cross-correlation of central-satellite pairs within a halo.

Central from first hod, satellite from second.

Notes

Defined by

\[\langle T^c_1 T^s_2 \rangle = \langle T^c_1 \rangle \langle T^s_2 \rangle + \sigma^c_1 \sigma^s_2 R_{cs},\]

where \(T^s\) is the total amount of tracer in the halo’s profile (i.e. not counting the central component,if this exists).

R_sc(m)

The cross-correlation of satellite-central pairs within a halo.

Central from second hod, Satellite from first.

Notes

Defined by

\[\langle T^s_1 T^c_2 \rangle = \langle T^s_1 \rangle \langle T^c_2 \rangle + \sigma^s_1 \sigma^c_2 R_{sc},\]

where \(T^s\) is the total amount of tracer in the halo’s profile (i.e. not counting the central component,if this exists).

R_ss(m)

The cross-correlation of numbers of pairs within a halo.

Notes

Defined by

\[\langle T_1 T_2 \rangle = \langle T_1 \rangle \langle T_2 \rangle + \sigma_1 \sigma_2 R_{ss},\]

where \(T\) is the total amount of tracer in the halo’s profile (i.e. not counting the central component, if this exists).

cs_cross_pairs(m)

The average value of cross-pairs in a halo of mass m.

Notes

\[\langle T^c_1 T^s_2 \rangle.\]

classmethod get_models() → Dict[str, Type]

Get a dictionary of all implemented models for this component.

sc_cross_pairs(m)

The average value of cross-pairs in a halo of mass m,.

Notes

\[\langle T^s_1 T^c_2 \rangle\]

self_pairs(m)

The expected number of cross-pairs at a separation of zero.

ss_cross_pairs(m)

The average value of cross-pairs in a halo of mass m.

Notes

Given by

\[`\langle T^s_1 T^s_2 \rangle - Q`\]