In the valuation of continuous barrier options the distribution of the first hitting time plays a substantial role. In general, the derivation of a hitting time distribution poses a mathematically challenging problem for continuous but otherwise arbitrary boundary curves. When considering...

We propose a new procedure for white noise testing of a functional time series. Our approach is based on an explicit representation of the 2‐distance between the spectral density operator and its best (2‐)approximation by a spectral density operator corresponding to a white noise process....