COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

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COWLES FOUNDATION DISCUSSION PAPER NO. 1395

Tests of Independence in Separable Econometric Models

Donald J. Brown and Marten H. Wegkamp

January 2003

A common stochastic restriction in econometric models separable in the latent variablesis the assumption of stochastic independence between the unobserved and observed exogenous variables. Both simple and composite tests of this assumption are derived from properties of independence empirical processes and the consistency of these tests is established

Keywords: Cramér-von Mises distance, Empirical independence processes, Random utility models, Semiparametric econometric models, Specification test of independence

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