Boasting, n.
The act of glorying or vaunting; vainglorious speaking; ostentatious display. When boasting ends, then dignity begins. Young.
Shades of meaning
Fernald has no entry of its own for boasting; he lists it under ostentation.
Where he writes about it:
Boasting is in direct statement, and is louder and more vulgar than ostentation. — from ostentation