Checks of the conditions of applicability of the detection procedure for the interferometric ALMA map (see text). Top-left panel: histogram of the values of the pixels vs. the standard Gaussian PDF ϕ(x). Top-right panel: histogram of the peak values vs. the theoretical PDF ψ(z) given by Eq. (10). Bottom-left panel: slices along the X and the Y directions of the sample autocorrelation function vs. the corresponding slices of a least-square fit with a two-dimensional Gaussian function. Bottom-right panel: sample pair correlation function ρ(r) of the peaks. The red line provides the theoretical ρ(r) due to a CSRPP.