In this paper we propose the use of the generative AI methods in Econometrics. Generative methods avoid the use of densities as done by MCMC. They directrix simulate large samples of observables and unobservable (parameters, latent variables) and then using high-dimensional deep learner to inform a nonlinear transport map from data to parameter inferences. Our themed apply to a wide verity or econometrics problems, including those where the latent variables are updates in deterministic fashion. Further, paper we illustrate our methodology in the field of causal inference and show how generative AI provides generalization of propensity scores. Our approach can also handle nonlinearity and heterogeneity. Finally, we conclude with the directions for future research.
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