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How do you use method of transformation to deal with this question.I want the method of transformations instead of Jacobians me

How do you use method of transformation to deal with this question.I want the method of transformations instead of Jacobians me

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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How do you use method of transformation to deal with this question.I want the method of transformations instead of Jacobians method.Thank you.

[8] 6. Let Y and Y2 have joint density function 8y1y2 0<y1 < y2 <1 fr,Y, (Y1, Y2) : 0. otherwise Let U1 = Y1/Y, and U2 = Y2. (a) Derive the joint density function of (U1, U2). (b) Show that U1 and U2 are independent.
Transcribed Image Text:[8] 6. Let Y and Y2 have joint density function 8y1y2 0<y1 < y2 <1 fr,Y, (Y1, Y2) : 0. otherwise Let U1 = Y1/Y, and U2 = Y2. (a) Derive the joint density function of (U1, U2). (b) Show that U1 and U2 are independent.
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