Suppose that the random variables X1, X2, and X3 are i.i.d., and that each has the standard

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Suppose that the random variables X1, X2, and X3 are i.i.d., and that each has the standard normal distribution. Also, suppose that
Y1 = 0.8X1 + 0.6X2,
Y2 = √2(0.3X1 − 0.4X2 − 0.5X3),
Y3 = √2(0.3X1 − 0.4X2 + 0.5X3).
Find the joint distribution of Y1, Y2, and Y3.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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