Stoning on behalf of children

It was narrated that Jabir said:
“We performed Hajj with the Messenger of Allah ﷺ, and there were women and children with us. We recited Talbiyah on behalf of the children and stoned the Pillars on their behalf.”

حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، حَدَّثَنَا عَبْدُ اللَّهِ بْنُ نُمَيْرٍ، عَنْ أَشْعَثَ، عَنْ أَبِي الزُّبَيْرِ، عَنْ جَابِرٍ، قَالَ حَجَجْنَا مَعَ رَسُولِ اللَّهِ ﷺ وَمَعَنَا النِّسَاءُ وَالصِّبْيَانُ فَلَبَّيْنَا عَنِ الصِّبْيَانِ وَرَمَيْنَا عَنْهُمْ .