Weight Cancellation

The equality-specific weights cancel the life-expectancy component for absolute inequality terms, so correlation between life expectancy and equality should not be attributed to w(x) alone. The article argues that w(x) is meaningful for life expectancy but is wholly or partly canceled by W(x) for inequality components. The meaningful sensitivity of relative equality is the product w(x)W(x), not either factor alone. The note proposes direct parametrization in dmu(x) with separate weights for life expectancy and inequality indicators as more interpretable.