Let X be a random variable such that E[(X b) 2 ] exists for all real b.
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Let X be a random variable such that E[(X −b)2] exists for all real b. Show that E[(X − b)2] is a minimum when b = E(X).
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Related Book For 
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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