[R] help in buliding a likelihood function...

[resident76]

I am hoping someone may be able to help me out here.  I need to build up a
likelihood function algorithmically based on the data.  The likelihood
function is almost impossible to generate analytically due to a large number
of summations.  I just can't figure out how to get the variables into the
function as I go down the data.  The general form of the function is:

Lik() = Sum_i Sum_j Sum_k  x_i * x_j * x_k * n()_ij * n()_jk

where the numbers i,j,k can go from 1 to 5 and n() are the normal densities. 
In going through the data, I can determined the vectors x, so the general
form is x = c(g1,g2,g3,g4,g4) which is the vector of the coefficients of the
g variables and describes a probability.  I'm trying to do a maximum
likelihood estimation to get the g variables given some input data.  

I'm at a dead end with trying to form the likelihood function.  Any insights
from the folks out there?

res
   
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