Edgeworth approximation for MINPIN estimators in semiparametric regression models

Linton, O. (1996). Edgeworth approximation for MINPIN estimators in semiparametric regression models. Econometric Theory, 12(1), 30-60. https://doi.org/10.1017/S0266466600006435
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We examine the higher order asymptotic properties of semiparametric regression estimators that were obtained by the general MINPIN method described in Andrews (1989, Semiparametric Econometric Models: I. Estimation, Discussion paper 908, Cowles Foundation). We derive an order n−1 stochastic expansion and give a theorem justifying order n−1 distributional approximation of the Edgeworth type.

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