<Dd> F − L X + c (F) = μ X μ X + c (F − L X (F)) (\ displaystyle F - L_ (X + c) (F) = (\ frac (\ mu _ (X)) (\ mu _ (X) + c)) (F - L_ (X) (F)) \,) </Dd> <P> For a cumulative distribution function F (x) with mean μ and (generalized) inverse x (F), then for any F with 0 <F <1: </P> <Ul> <Li> If the Lorenz curve is differentiable: </Li> </Ul> <Li> If the Lorenz curve is differentiable: </Li>

A lorenz curve can be used by economists to do which of the following