  We have performed 2D bulge/bar/disc decompositions using g, r and i-band
images of a representative sample of nearly 1000 galaxies from the Sloan
Digital Sky Survey. We show that the Petrosian concentration index is a better
proxy for bulge-to-total ratio than the global Sersic index. We show that
pseudo-bulges can be distinguished from classical bulges as outliers in the
Kormendy relation. We provide the structural parameters and distributions of
stellar masses of ellipticals, classical bulges, pseudo-bulges, discs and bars,
and find that 32 per cent of the total stellar mass in massive galaxies in the
local universe is contained in ellipticals, 36 per cent in discs, 25 per cent
in classical bulges, 3 per cent in pseudo-bulges and 4 per cent in bars.
Pseudo-bulges are currently undergoing intense star formation activity and
populate the blue cloud of the colour-magnitude diagram. Most (though not all)
classical bulges are quiescent and populate the red sequence of the diagram.
Classical bulges follow a correlation between bulge Sersic index and
bulge-to-total ratio, while pseudo-bulges do not. In addition, for a fixed
bulge-to-total ratio, pseudo-bulges are less concentrated than classical
bulges. Pseudo-bulges follow a mass-size relation similar to that followed by
bars, and different from that followed by classical bulges. In the fundamental
plane, pseudo-bulges occupy the same locus as discs. While these results point
out different formation processes for classical and pseudo-bulges, we also find
a significant overlap in their properties, indicating that the different
processes might happen concomitantly. Finally, classical bulges and ellipticals
follow offset mass-size relations, suggesting that high-mass bulges might not
be simply high-mass ellipticals surrounded by discs.
