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Table 5

Expected p-values for inpainted maps of ISW signal for a 2MASS-like local tracer of mass using Monte-Carlo or bootstrap methods for the first two steps of the Saclay method.

Gaussian density

Method Monte-Carlo Bootstrap
Cross-correlation (Eq. (11)) 0.35 ± 0.35 0.48 ± 0.37
Amplitude estimation (Eq. (21)) 0.36 ± 0.30 0.48 ± 0.31

Lognormal density
Method Monte-Carlo Bootstrap
Cross-correlation (Eq. (11)) 0.36 ± 0.33 0.51 ± 0.33
Amplitude estimation (Eq. (21)) 0.38 ± 0.28 0.51 ± 0.30

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