Here's a missing-data situation that I haven't run into before. X is one of 
the variables that affects Y,
        Y = a0 + X1a1 + ... + error
but Y is one of the variables that affects whether I have information on X,
        Pr (X missing) = F ( b0 + Yb1 + ...)
Here F is a cumulative distribution function -- for example, normal or 
logistic.

I want to make efficient, unbiased estimates of the first equation's 
regression parameters a_i.

Any suggestions most welcome.

Many thanks,
Paul von Hippel
Ohio State University

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