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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Working Paper: Directionally Differentiable Econometric Models (2017) 
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Persistent link: https://EconPapers.repec.org/RePEc:cup:etheor:v:34:y:2018:i:05:p:1101-1131_00
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