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\begin{aligned} T (\hat{α} - 1) & \Rightarrow ([W (1)^{2} - 1] / 2 - W (1) \int_{0}^{1} W (r) d r) {(\int_{0}^{1} W (r)^{2} d r - {(\int_{0}^{1} W (r) d r)}^{2})}^{- 1} \\ D F_{τ} & \Rightarrow ([W (1)^{2} - 1] / 2 - W (1) \int_{0}^{1} W (r) d r) {(\int_{0}^{1} W (r)^{2} d r - {(\int_{0}^{1} W (r) d r)}^{2})}^{- 1 / 2} \end{aligned}

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\begin{align*} T(\hat{\alpha }-1) & \Rightarrow \left( [W(1)^2-1]/2 -W(1)\int _0^1 W(r)dr \right)\left( \int _0^1 W(r)^2 dr - \left(\int _0^1 W(r)dr \right)^2\right)^{-1}\\ DF_\tau & \Rightarrow \left([W(1)^2-1]/2 -W(1)\int _0^1 W(r)dr \right)\left( \int _0^1 W(r)^2 dr - \left(\int _0^1 W(r)dr \right)^2\right)^{-1/2} \end{align*}