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Semiparametric Estimation of Nonseparable Models: A Minimum Distance from Independence Approach

  • Author(s): Komunjer, Ivana
  • Santos, Andres
  • et al.
Abstract

This paper focuses on nonseparable structural models of the form Y = m(X, U, α0) with U X and in which the structural parameter α0 contains both finite dimensional (θ0) and infinite dimensional (h0) unknown components. Our proposal is to estimate α0 by a minimum distance from independence (MDI) criterion. We show that: (i) our estimator of h0 is consistent and obtain rates of convergence; (ii) the estimator of θ0 is square root n consistent and asymptotically normally distributed.

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