2.2 Let X be a nonnegative continuous random variable with cdf FX. Show that E(X) 1...

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2.2 Let X be a nonnegative continuous random variable with cdf FX.

Show that E(X) ¼

ð1 0

[1  FX(x)]dx

(Hint: Use integration by parts on the definition of E(X)).

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Nonparametric Statistical Inference

ISBN: 9781420077612

5th Edition

Authors: Jean Dickinson Gibbons, Subhabrata Chakraborti

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