Analytical model fitting
I have a special type of model fitting problem that I am trying to solve in MMA. Any insight how to attack it using available tools of MMA will be great to hear.

We have a variable

    H={h_k}, where k=1,...,15.
    and each h_k is 4-tuple of complex numbers
    h_k={a_i+I b_i} where i=1,..,4 and a_i,b_i are normally distributed real numbers.
Now this `H` is mapped to a object `P={p,c}` where `p` is a permutation of **integers** `{2,3,..,16}` and `c` is a **real** number. Now we seek to find a analytic model `f` such that `f:H->P`. Through a Monte Carlo simulation I have got 50000 data for this map f. I am stuck with the question about what kind of analytical model to choose and which fitting procedure will be best if one wants to solve this problem in MMA?
Hope to hear from you people.

BR

 
Analytical model fitting
===

I have a special type of model fitting problem that I am trying to solve in MMA. Any insight how to attack it using available tools of MMA will be great to hear.

We have a variable

    H={h_k}, where k=1,...,15.
    and each h_k is 4-tuple of complex numbers
    h_k={a_i+I b_i} where i=1,..,4 and a_i,b_i are normally distributed real numbers.
Now this `H` is mapped to a object `P={p,c}` where `p` is a permutation of **integers** `{2,3,..,16}` and `c` is a **real** number. Now we seek to find a analytic model `f` such that `f:H->P`. Through a Monte Carlo simulation I have got 50000 data for this map f. I am stuck with the question about what kind of analytical model to choose and which fitting procedure will be best if one wants to solve this problem in MMA?
Hope to hear from you people.

BR

 