Problem: In a Gaussian variable experiment, random variables X, Y, Z follow the rule: X, Y|Z are jointly normal with parameters mx|z, my|z, Tx|z, Ty|z, Px,y|z (all functions of z, in general). (a) What is the pdf fx|z(x|z)? (b) What is the MMSE of xly, z? (c) What is the MSE of the MMSE in (b)? (d) Find pa,y Px,y

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Problem: In a Gaussian variable experiment, random variables X, Y, Z
follow the rule: X, Y|Z are jointly normal with parameters mx|z, my|z, Tx|z, Ty|z, Px,y|z
(all functions of z, in general).
(a) What is the pdf fx|z(x|z)?
(b) What is the MMSE of xly, z?
(c) What is the MSE of the MMSE in (b)?
(d) Find pa,y
Px,y
Transcribed Image Text:Problem: In a Gaussian variable experiment, random variables X, Y, Z follow the rule: X, Y|Z are jointly normal with parameters mx|z, my|z, Tx|z, Ty|z, Px,y|z (all functions of z, in general). (a) What is the pdf fx|z(x|z)? (b) What is the MMSE of xly, z? (c) What is the MSE of the MMSE in (b)? (d) Find pa,y Px,y
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Where does the z=2 come from? Just from X, and Y also being random variables?

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