Here's why it's not a nominative or objective pronoun:
* Nominative pronouns are used as the subject of a sentence (e.g., I, you, he, she, it, we, they).
* Objective pronouns are used as the object of a verb or preposition (e.g., me, you, him, her, it, us, them).
Since "yours" indicates possession, it falls into the category of possessive pronouns.