Figure 10.
The uncertainty in the shot noise rescaling parameter a versus the number of mocks used to calibrate it. Our covariance matrix has 350 bins, and so we indicate with a vertical dashed line Nmocks = 350. As the $\mathcal {L}_1$ likelihood (see equation 39) does not require that we invert the mock covariance matrix, it yields a precise estimate of a even with $\mathcal {O}(100)$ mocks. The $\mathcal {L}_2$ likelihood (see equation 43) does require that we invert the mock covariance matrix, and so only yields a precise estimate of a for Nmocks well above 350. Typical values for a in our model, calibrated against the QPM mocks, were 1.14, so 1 per cent precision on a can be achieved with a small number of mocks.

The uncertainty in the shot noise rescaling parameter a versus the number of mocks used to calibrate it. Our covariance matrix has 350 bins, and so we indicate with a vertical dashed line Nmocks = 350. As the |$\mathcal {L}_1$| likelihood (see equation 39) does not require that we invert the mock covariance matrix, it yields a precise estimate of a even with |$\mathcal {O}(100)$| mocks. The |$\mathcal {L}_2$| likelihood (see equation 43) does require that we invert the mock covariance matrix, and so only yields a precise estimate of a for Nmocks well above 350. Typical values for a in our model, calibrated against the QPM mocks, were 1.14, so 1 per cent precision on a can be achieved with a small number of mocks.

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