Let X be a random variable of the continuous type that has pdf f(x). If m is
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Let X be a random variable of the continuous type that has pdf f(x). If m is the unique median of the distribution of X and b is a real constant, show that
provided that the expectations exist. For what value of b is E(|X −b|) a minimum?
Transcribed Image Text:
E (X — b}) = E(X − m)) + 2 [*(b − x) ƒ (x) dx, - -
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Given that the median of X is m we can write EXb EXm Emb EXm i...View the full answer
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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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