The limiting distribution, after it is centralized and
normalized of the discrete tri-variate distribution
whose prob. generating function is
n
(1/6 + 1/6 x[1] + 1/6 x[2] + 1/6 x[3] + 1/3 x[1] x[2] x[3])
is the inverse-Fourier-transform of
Using t[1],t[2],t[3] for the continuous variables .
2 2
[n/2, n/2, n/2], [n/4, n/4, n/4], exp(-1/2 t[3] - 1/2 t[1] - 1/3 t[2] t[3]
2
- 1/3 t[1] t[2] - 1/2 t[2] - 1/3 t[1] t[3])
This took, 0.855, seconds.