This paper considers random coefficients binary choice models. The main goal is to estimate the density of the random coefficients nonparametrically. This is an ill-posed inverse problem characterized by an integral transform. A new density estimator for the random coefficients is developed,...

An extensive literature in econometrics and in numerical analysis has considered the problem of evaluating the multiple integral P({bold B};mu,Omega) = integral_{a}^{b} n(v - mu, Omega)dv = E_{V}{bold 1}(V in {bold B}), where V is a m-dimensional normal vector with mean mu, covariance matrix ,...

This paper develops a semiparametric method for estimating the nonrandom part V(.) of a random utility function U(v, omega) - V(v) + e(omega) from data on discrete choice behavior. Here v and omega are, respectively, vectors of observable and unobservable attributes of an alternative, and...