Question: Suppose is a random variable and that given = 0, the real observa- tion Y has a probability density function (pdf) p(y/0) = exp(0|y|),

Suppose is a random variable and that given = 0, the real

Suppose is a random variable and that given = 0, the real observa- tion Y has a probability density function (pdf) p(y/0) = exp(0|y|), y = R. Given that has a prior pdf: p(0) = { } 0 0 Hint: fx exp(cx) dx 10 e (i) Find the maximum a posteriori estimate of given Y. (ii) Find the minimum mean square error estimate of given Y. exp(c. x) (-) = otherwise

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