Fig. 5

Convergence of distribution in sample size, n, represented by a subsample of \({\mathfrak {N}}=100\) Monte Carlo replicates (dotted) for the rotated-sigmoid population (solid blue) and mean (of the full \({\mathfrak {N}}=500\) replicates) curve (dashed red) for a σ₁=0.10 and b σ₂=0.18. Note that the lowest diameter class width is (0,1.5] cm, while the largest class width is [46.5,47.353] cm. Similar results for the remaining three shapes in Table 1 are displayed in Additional file 1: Figures S.9–S.11