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- W2900018132 abstract "This paper studies an asymptotics of functional linear quantile regression in which the dependent variable is scalar while the covariate is a function. We apply a roughness regularization approach of a reproducing kernel Hilbert space framework. In the above circumstance, narrow convergence with respect to uniform convergence fails to hold, because of the strength of its topology. A new approach we propose to the lack-ofuniform- convergence is based on Mosco-convergence that is weaker topology than uniform convergence. By applying narrow convergence with respect to Mosco topology, we develop an infinite-dimensional version of the convexity argument and provide a proof of an asymptotic normality of argmin processes. Our new technique also provides the asymptotic confidence intervals and the generalized likelihood ratio hypothesis testing in fully nonparametric circumstance." @default.
- W2900018132 created "2018-11-16" @default.
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- W2900018132 date "2018-03-04" @default.
- W2900018132 modified "2023-09-27" @default.
- W2900018132 title "Nonparametric Inference in Functional Linear Quantile Regression by RKHS Approach" @default.
- W2900018132 hasPublicationYear "2018" @default.
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