Conditional mode regression: Application to functional time series prediction

Statistics – Applications

Scientific paper

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Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics

Scientific paper

We consider $\alpha$-mixing observations and deal with the estimation of the
conditional mode of a scalar response variable $Y$ given a random variable $X$
taking values in a semi-metric space. We provide a convergence rate in $L^p$
norm of the estimator. A useful and typical application to functional times
series prediction is given.

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