Let X be a random variable of the continuous type that has pdf f(x). If m is

Question:

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?

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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Question Posted: Oct 13, 2022 02:25 AM

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Let X be a random variable of the continuous type that has pdf f(x). If m is

Question:

E (X — b}) = E(X − m)) + 2 [*(b − x) ƒ (x) dx, - -

Step by Step Answer:

Given that the median of X is m we can write EXb EXm Emb EXm i...View the full answer

Introduction To Mathematical Statistics

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