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#/bin/sh
for i in $*; do
echo $i
cat $i |
awk 'BEGIN {
s1 = 0;
s2 = 0;
s3 = 0;
s4 = 0;
n = 0;
}
{
x = $1;
p = $2;
v = p * x;
s1 += v;
v *= x;
s2 += v;
v *= x;
s3 += v;
v *= x;
s4 += v;
}
END {
up0 = 1;
up1 = s1;
up2 = s2;
up3 = s3;
up4 = s4;
u1 = 0;
u2 = up2 - up1 * up1;
u3 = 2 * up1 * up1 * up1 - 3 * up1 * up2 + up3;
u4 = -3 * up1 * up1 * up1 * up1 + 6 * up1 * up1 * up2
-4 * up1 * up3 + up4;
skew = u3 / (u2 * sqrt(u2));
kurto = u4 / (u2 * u2) - 3;
printf("%f %f %f %f\n",
up1, u2, skew, kurto);
}'
done
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