Subsampling inference for nonparametric extremal conditional quantiles

Kurisu, D. & Otsu, T.ORCID logo (2023). Subsampling inference for nonparametric extremal conditional quantiles. Econometric Theory, https://doi.org/10.1017/S0266466623000336
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This paper proposes a subsampling inference method for extreme conditional quantiles based on a self-normalized version of a local estimator for conditional quantiles, such as the local linear quantile regression estimator. The proposed method circumvents difficulty of estimating nuisance parameters in the limiting distribution of the local estimator. A simulation study and empirical example illustrate usefulness of our subsampling inference to investigate extremal phenomena.

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