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Topic: CV of square
Replies: 5   Last Post: Nov 14, 2012 2:56 PM

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paulvonhippel at yahoo

Posts: 72
Registered: 7/13/05
CV of square
Posted: Nov 13, 2012 4:18 PM
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Suppose T is a random nonnegative variable with finite mean and variance, and suppose S=Sqrt(T).

Is there a useful rule of thumb, even approximate, relating the coefficient of variation (CV) of T to the CV of S? For example, if CV(S)=1/10, what does that suggest about CV(T)?

Reminder: the definition of CV is
CV(T) = Sqrt(V(T)) / E(T)
CV(S) = Sqrt(V(S)) / E(S)

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