In case of noun :-Nominative : Peter.Possessive : Peter'sDouble possessive : Of Peter's.It is correct.
In case of pronoun :-Nominative : YouPossessive : YourDouble possessive : Yours*Treble possessive : of yours.Is it ok?
This is what I have just found on an online grammar website. Are possessive pronouns double possessives and do they (with 'of') form treble possessive?

This is the paradigm that most people are more familiar with.

1) Nominative : Peter / you
2) Possessive determiner : Peter's / your
(belonging to Peter / belonging to you)
3) Possessive pronoun : Peter's / yours
(the one that belongs to Peter / the one that belongs to you)
4) "Double possessive" : of Peter's / of yours
("of" + the possessive pronoun)
(of those that belong to Peter / of those that belong to you)

1) Peter has a pen. / You have a pen.
2) This is Peter's pen. / This is your pen.
3) This pen is Peter's. / This pen is yours.
4) Is Tom a friend of Peter's? / Is Tom a friend of yours?

I have never heard of a treble possessive.

[ In any case, it's not always a good idea to put your effort into learning terminology when you learn a new language. Reading and speaking will help you master English much sooner than finding all the different terms that are used to describe grammatical structures. ]



I will not wear any coat of yours. (Yours is the possessive pronoun.)
I will not wear any coat of John's. (John's is the possessive form of the noun.)
I will not wear your coat. (Your is the determiner.)
I will not wear John's coat.