Results 1 to 2 of 2

Math Help - Transformation using jacobian.

  1. #1
    Member
    Joined
    May 2011
    Posts
    169

    Transformation using jacobian.

    Random variables X and Y are independent standard normal random variables. If U=X^2+Y^2 and V= X/Y, obtain the join pdf of U,V.

    Firstly I'm given a hint that this mapping is not one to one.

    Suppose (x,y)->(u,v) and (a,b) -> (u,v) . Then a/b=x/y and a^2+b^2=x^2+y^2 so I suppose a counter example is (1,1) and
    (-1,-1).

    Now I thought I could only use jacobian if the mapping was one to one but seemingly not as I'm given a hint to use it.


    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    May 2011
    Posts
    169

    Re: Transformation using jacobian.

    how do I do question?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Jacobian transformation
    Posted in the Algebra Forum
    Replies: 0
    Last Post: December 17th 2011, 06:42 AM
  2. Jacobian transformation
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: August 9th 2009, 03:53 AM
  3. Jacobian transformation of r.v.s
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: July 31st 2009, 06:55 AM
  4. Jacobian transformation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 20th 2008, 03:32 AM
  5. Jacobian transformation
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 18th 2008, 03:47 AM

Search Tags


/mathhelpforum @mathhelpforum