Are there any authentic Hadiths regarding the virtue of performing Hajj on behalf of another?

Authentic prophetic traditions have mentioned the virtues of Hajj, among them that it is one of the pillars of Islam, and that 'Umrah to 'Umrah is an expiation for what is between them, and that there is no reward for an accepted Hajj except Paradise, and that performing Hajj and 'Umrah consecutively dispels poverty and sins. As for performing Hajj on behalf of another, its reward reaches the one on whose behalf Hajj was performed, increasing his goodness and fulfilling what was obligatory upon him.