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(Solved): 9.3 In the approximation of the random variable Y by (X), one may use the mean cost E{g[Y ...



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9.3 In the approximation of the random variable by , one may use the mean cost , where is a given function. Show that, if is an even concave function as below, then the "mean cost" is minimum if . You may assume the conditional density of given the event is symmetric abont its mean, as shown below.


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