The value of a that minimizes the mean square error e

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For random variables X and Y, we wish to use Y to estimate X. However, our estimate must be of the form  = aY

(a) Find a∗, the value of a that minimizes the mean square error e = E[(X - aY)2]

(b) For a = a∗, what is the minimum mean square error e∗?

(c) Under what conditions is  the LMSE estimate of X?

Reference no: EM131083766

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