excursion: E area = 0.6267, E max = 1.2533
n=250: E[area]/(sqrt(beta) n^1.5) = 0.6546; max CDF minus excursion CDF at z=[0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.4, 2.8, 3.2]:
    +0.0003 +0.0084 +0.0144 -0.0002 -0.0124 -0.0136 -0.0090 -0.0044 -0.0005 -0.0000 -0.0000  max|diff| = 0.0144
n=1000: E[area]/(sqrt(beta) n^1.5) = 0.6324; max CDF minus excursion CDF at z=[0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.4, 2.8, 3.2]:
    +0.0001 +0.0061 +0.0175 +0.0167 +0.0091 +0.0031 +0.0007 +0.0000 -0.0000 -0.0000 -0.0000  max|diff| = 0.0175
n=2000: E[area]/(sqrt(beta) n^1.5) = 0.6276; max CDF minus excursion CDF at z=[0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.4, 2.8, 3.2]:
    +0.0001 +0.0050 +0.0155 +0.0166 +0.0105 +0.0047 +0.0016 +0.0004 +0.0000 +0.0000 -0.0000  max|diff| = 0.0166
