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MathML

\begin{aligned} {\hat{σ}}_{A}^{2} ({\hat{F}}_{j} (t)) & = \sum_{t_{l} \leq t} {[{\hat{F}}_{j} (t) - {\hat{F}}_{j} (t_{l})]}^{2} \frac{d_{. l}}{(Y_{l} - 1) (Y_{l} - d_{. l})} \\ + \sum_{t_{l} \leq t} {\hat{S}}^{2} (t_{l - 1}) \frac{d_{k j} (Y_{l} - d_{j l})}{Y_{l}^{2} (Y_{l} - 1)} \\ - 2 \sum_{t_{l} \leq t} [{\hat{F}}_{j} (t) - {\hat{F}}_{j} (t_{l})] \hat{S} (t_{l - 1}) \frac{d_{j l} (Y_{l} - d_{j l})}{Y_{l} (Y_{l} - d_{. l}) (Y_{l} - 1)} \end{aligned}

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\begin{align*} \hat{\sigma }^2_\mr {A}(\hat{F}_ j(t)) & = \sum _{t_ l\leq t} \left[\hat{F}_ j(t) - \hat{F}_ j(t_ l)\right]^2 \frac{d_{.l}}{(Y_ l-1)(Y_ l-d_{.l})} \\ & + \sum _{t_ l\leq t}\hat{S}^2(t_{l-1}) \frac{d_{kj}(Y_ l-d_{jl})}{Y_ l^2(Y_ l-1)} \\ & - 2 \sum _{t_ l\leq t}\left[\hat{F}_ j(t) - \hat{F}_ j(t_ l)\right] \hat{S}(t_{l-1}) \frac{d_{jl}(Y_ l-d_{jl})}{Y_ l(Y_ l-d_{.l})(Y_ l-1)} \end{align*}