Figure 1

Empirical and theoretical distributions of \widehat{S}. A sample of size 10 000 have been used to get the empirical distribution. The solid line represents the density of \mathcal{N}(S, σ²). The adjustment test of Kolmogorov-Smirnov give D = 0.023 which corresponds to a p-value of p = 5.3 × 10^-5. N_obs = 1221 and n = ℓ = 10 000.