I have a dataset consisting of two dependent variables y1 and y2 (which
could be correlated) and a set of independent variables X1 to Xn. My
model (based on my thoery) is as follows:
y1 = alpha1 + b1x1 + b2X2 + b3X5 + b4 Xn
y2=alpha1 +b21X1 + b22X3 + b23X4 + b24X5 + B25Xn-1
So basically there are some X variables that are expected to affect
both y1 and y2 and some which only affect one of them. I want to run a
simultaneous bivariate regression owing to the expected correlation
between the two. Does anyone have any ideas on how I can do this ?
The y variables are count variables, so I would like to model them as a
negative binomial or poisson variable.
Many thanks in advance,