Root-Mean-Square Deviation

3-6 Test Interval

This Work

Box-Muller

von Neumann

$\mu \pm \left(1/2\right)\sigma$

$6.09\times {10}^{-1}$

$6.09\times {10}^{-1}$

$6.09\times {10}^{-1}$

$\mu \pm \sigma$

$1.58\times {10}^{-1}$

$1.59\times {10}^{-1}$

$1.59\times {10}^{-1}$

$\mu \pm 2\sigma$

$1.30\times {10}^{-2}$

$1.35\times {10}^{-2}$

$1.35\times {10}^{-2}$

$\mu \pm 3\sigma$

$4.20\times {10}^{-3}$

$4.08\times {10}^{-3}$

$4.15\times {10}^{-3}$

$\mu \pm 4\sigma$

$4.20\times {10}^{-3}$

$3.56\times {10}^{-3}$

$3.53\times {10}^{-3}$

$\mu \pm 5\sigma$

$3.26\times {10}^{-3}$

$3.13\times {10}^{-3}$

$3.11\times {10}^{-3}$