- #1
fab13
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- TL;DR Summary
- I would like to make the link between the noise term that appears into
and the Poisson noise appearing in the "Shot Noise" appearing in a cosmological survey : is noise term following a Normal or Poisson distribution ?
We assume two galaxy population, and ; the corresponding maps have the following :
Here, and correspond to the linear galaxy bias for both populations, and are the respective Poisson contribution to the maps, and is the underlying (identical for both population) dark matter map/distribution.
1 Standard approach
In the "standard analysis", with as observables, we have as data vector simply:
One would then need to compute the covariance matrix of those observable (in order to do some Fisher later on). Here are the various terms:
I just want to make the link between distribution and Shot noise distribution :
How to perform this ? Can random variable be considered as a Gaussian distribution and a Poisson distribution ( with the density of galaxies.
Any help is welcome
Here,
1 Standard approach
In the "standard analysis", with
One would then need to compute the covariance matrix of those observable (in order to do some Fisher later on). Here are the various terms:
I just want to make the link between
How to perform this ? Can random variable
Any help is welcome