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DIRECTIONALLY DIFFERENTIABLE ECONOMETRIC MODELS

Jin Seo Cho () and Halbert White

Econometric Theory, 2018, vol. 34, issue 5, 1101-1131

Abstract: The current article examines the limit distribution of the quasi-maximum likelihood estimator obtained from a directionally differentiable quasi-likelihood function and represents its limit distribution as a functional of a Gaussian stochastic process indexed by direction. In this way, the standard analysis that assumes a differentiable quasi-likelihood function is treated as a special case of our analysis. We also examine and redefine the standard quasi-likelihood ratio, Wald, and Lagrange multiplier test statistics so that their null limit behaviors are regular under our model framework.

Date: 2018
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Citations: View citations in EconPapers (6)

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Working Paper: Directionally Differentiable Econometric Models (2017) Downloads
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