We analyze the identification and estimation of parameters β satisfying the incomplete linear moment restrictions E(zT (xβ−y)) = E(zT u(z)) where z is a set of instruments and u(z) an unknown bounded scalar function. We first provide empirically relevant examples of such a set-up. Second, we...

Let, y, a binary outcome, v a continuous explanatory variable and x some other explanatory variables. We study inference on the parameter b of the semiparametric binary regression model y=1(xb+v+e0). We show that the set-up introduced by Lewbel (2000) that is, an uncorrelated-error restriction...

Let, y, a binary outcome, v a continuous explanatory variable and x someother explanatory variables. Assume that the population distribution of the random variablew = (y, v, x) satisfies Monotone (1) and Large Support (2) assumptions: (1) E(y | v, x) ismonotone in v and (2) E(y | v, x) varies...

We investigate identification in semi-parametric binary regression models, "y"= 1("x""β"+υ+ε  0) when υ is either discrete or measured within intervals. The error term ε is assumed to be uncorrelated with a set of instruments "z", ε is independent of υ conditionally on "x" and "z", and the...