Illustration of the plateau in the distribution of strictly positive random variables as x → 0. The existence of these plateaus is mathematically guaranteed for all distributions with positive support and finite-valued Probability Density Function (PDF). (a) PDFs of three popular positive-valued statistical distributions. (b) Zoom-in on the same PDFs as in plot (a), but at very small values near the origin, on a logarithmic x-axis, illustrating the plateau-like behavior of the distributions near x = 0. The appearance of the plateau near the origin (x = 0) is guaranteed by the logarithmic transformation of the x-axis. The logarithmic transformation effectively spreads a finite amount of variations in the PDF on the y-axis over a semi-infinite range on the (logarithmic) x-axis.