Bands of vector-valued functions f:T↦Rd 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.Comment: 12 page