We consider the problem of the bandwidth selection for the sharp regression discontinuity (RD) estimator. The sharp RD estimator requires to estimate two conditional mean functions on the left and the right of the cut-off point nonparametrically. We propose to choose two bandwidths, one for each...

We consider the problem of choosing two bandwidths simultaneously for estimating the difference of two functions at given points. When the asymptotic approximation of the mean squared error (AMSE) criterion is used, we show that minimization problem is not well-defined when the sign of the...