Nomenclature
While some classify the words my, your, etc. as possessive adjectives, others, due to the differences noted above, do not consider them adjectives – at least, not in English – and prefer possessive determiners. In some other languages the equivalent parts of speech behave more like true adjectives, however.
The words my, your, etc. are sometimes classified, along with mine, yours etc., as possessive pronouns or genitive pronouns, since they are the possessive (or genitive) forms of the ordinary personal pronouns I, you etc. However, unlike most other pronouns, they do not behave grammatically as stand-alone nouns, but instead qualify another noun – as in my book (contrasted with that's mine, for example, where mine substitutes for a complete noun phrase such as my book). For this reason, other authors restrict the term "possessive pronoun" to the group of words mine, yours etc. that substitute directly for a noun or noun phrase.
Some authors who classify both sets of words as "possessive pronouns" or "genitive pronouns" apply the terms dependent/independent or weak/strong to refer, respectively, to my, your, etc. and mine, yours, etc. For example, under this scheme, my is termed a dependent possessive pronoun and mine an independent possessive pronoun.
Read more about this topic: Possessive Adjective