It is common to see capacitors in parallel, with smaller and smaller capacitance, in order to reduce the parasitic ESR (and the equivalent series inductance). This allows obtaining relatively big capacitances of very low ESR. But I've not seen in the literature that a similar, dual trick, is used for inductors: to connect in series inductors of smaller and smaller inductance (and hence, generally speaking, of smaller and smaller parasitic effects), with suitable shielding. I had a look at various inductor models, and if my understanding is correct, this would reduce enormously the parallel capacitance (probably the most annoying parasitic element), as well as the parasitic parallel resistance (magnetic losses). Of course, this would also somewhat increase the ESR of the inductance, but this is not a problem in general.
My question is: is this idea correct, and where is it dealt in the literature?