Title: Band depths based on multiple time instances,
Abstract: Bands of vector-valued functions $f:T\mapsto\mathbb{R}^d$ are defined by
considering convex hulls generated by their values concatenated at $m$
different values of the argument. The obtained $m$-bands are families of
functions, ranging from the conventional band in case the time points are
individually considered (for $m=1$) to the convex hull in the functional space
if the number $m$ of simultaneously considered time points becomes large enough
to fill the whole time domain. These bands give rise to a depth concept that is
new both for real-valued and vector-valued functions.