Extended Glivenko—Cantelli theorem for simple random sampling without replacement from a finite population

Figures & data

Fig. 1 (Artificial Population I) Box plots of the simulated values of $n^{\alpha }\underset{x}{\sup }|F_n(x)-F_N(x)|$ for various values of α. (Sample sizes of the box plots on each panel are 50, 500, and 5, 000, from left to right.)

Fig. 2 (Artificial Population II) Box plots of the simulated values of $n^{\alpha }\underset{x}{\sup }|F_n(x)-F_N(x)|$ for various values of α. (Sample sizes of the box plots on each panel are 50, 500, and 5, 000, from left to right.)