Show that if X is a continuous random variable, then min a EjX aj EjX mj

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Show that if X is a continuous random variable, then min a

EjX ¡aj Æ EjX ¡mj , wherem is the median of X.

Hint: Work out the integral expression of EjX ¡aj and notice that it is differentiable.

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Probability And Statistics For Economists

ISBN: 9780691235943

1st Edition

Authors: Bruce Hansen

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Question Posted: Sep 23, 2024 07:00 AM

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Show that if X is a continuous random variable, then min a EjX aj EjX mj

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Probability And Statistics For Economists

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