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Consider a vector X of three zero mean jointly Gaussian random variables {X1, X2, X3). It is known that the variance of
Posted: Sat Mar 19, 2022 6:10 pm
by answerhappygod
- Consider A Vector X Of Three Zero Mean Jointly Gaussian Random Variables X1 X2 X3 It Is Known That The Variance Of 1 (30.31 KiB) Viewed 43 times
Consider a vector X of three zero mean jointly Gaussian random variables {X1, X2, X3). It is known that the variance of X; equals hi for i = 1, 2, 3, Xi and X2 are uncorrelated, the covariance of X and X3 equals -1, and X, and X3 are uncorrelated. a) Write down the covariance matrix of the vector X. b) Find the covariance of X, and (:), i.e., find E{X2(X1, X3)}. c) Are X2 and () statistically independent? Please explain. d) Find E{XX}}.