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Dear Users,

 

I am new with the Winbugs syntax and I want to estimate a non-linear hierarchical model with the following structure:

 

Y_i,j= PHI*((PHI^-1*(x))-sqrt(rho)*Rm_i)/sqrt(rho).

 

where PHI is the standard normal distribution, PHI^-1, its inverse, Rm_i a random shock with normal distribution, x a covariate with uniform distribution, Y is the binomial response and rho the non-linear parameter to be estimate. The term ((PHI^-1*(x)) also can substituted by a constant with beta distribution. The hierarchical model assumes j=1 to 93 and i=1 to 10.000.

 

Please, any hint in how to compute this code will be very welcome.

 

Thanks for your time and attention 

 

Prof. Ricardo Gonçalves Silva

Serasa - Brazil

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