The A level Language textbook we use categorises 'my' 'your' 'his' 'her' 'our' and 'their' as possessive pronouns.
I think they cannot be pronouns since they do not replace nouns. I have seen them referred to as both possessive adjectives and possessive determiners.
I think possessive pronouns are 'mine' 'yours' 'his' 'hers' 'ours and 'theirs' which can indeed replace nouns (as in 'My house is small; hers is enormous')
Does anyone have a view on this?