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2004 Jan 30
0
coupled statistical models
...pends on s,t, and p, and h is essentially
a sum over the volume at each p. When the individual models are
computed, coefficients should be chosen so that this is satisfied.
How to do this in R?
Without the coupling the least-squares formulation would seek
coefficients a_p and b_p to minimize:
sum_p(sum_p((s_id,p - a_p t_id,p + b_k)^2)).
Minimization at each p is independent.
With coupling, there would be an additional term:
sum_id((sum_p(vp)-h_id)^2)
where vp is a function of a_p t_id,p + b_k and of t_id.
The functions for vp are nonlinear, but if necessary with some work
it should be po...