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MathML

\begin{aligned} z_{A} & = (4 N w_{1} w_{2})^{\frac{1}{2}} [a r c s i n ({[\hat{p_{2}} + \frac{1}{2 N w_{2}} (1_{{\hat{p_{2}} < \hat{p_{1}}}} - 1_{{\hat{p_{2}} > \hat{p_{1}}}})]}^{\frac{1}{2}}) \\ - a r c s i n ({[\hat{p_{1}} + \frac{1}{2 N w_{1}} (1_{{\hat{p_{1}} < \hat{p_{2}}}} - 1_{{\hat{p_{1}} > \hat{p_{2}}}})]}^{\frac{1}{2}})] \end{aligned}

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Math as LaTeX Source

\begin{align*} z_ A & = (4N w_1 w_2)^\frac {1}{2} \left[ \mr{arcsin}\left( \left[ \hat{p_2} + \frac{1}{2N w_2} (1_{\{ \hat{p_2} < \hat{p_1}\} } - 1_{\{ \hat{p_2} > \hat{p_1}\} }) \right]^\frac {1}{2} \right) \right. \\ & \quad \left. - \mr{arcsin}\left( \left[ \hat{p_1} + \frac{1}{2N w_1} (1_{\{ \hat{p_1} < \hat{p_2}\} } - 1_{\{ \hat{p_1} > \hat{p_2}\} }) \right]^\frac {1}{2} \right) \right] \end{align*}