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Jun 01'22

Exercise

The joint density function of the logarithm of the two random variables [math]X[/math] and [math]Y[/math] equals [math]f(x,y)[/math]. Which of the following expressions represent the joint density function of [math]X[/math] and [math]Y[/math]?

  1. [math]y^{-1}x^{-1}f(\ln(x),\ln(y))[/math]
  2. [math]f(\ln(x),\ln(y))[/math]
  3. [math]y^{-1}x^{-1}f(x,y)[/math]
  4. [math]e^x e^yf(e^x,e^y)[/math]
  5. [math]x^{-1}f(\ln(x),x) + y^{-1}f(x,\ln(y))[/math]
Jun 01'22

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