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I've read journal "On the Comparison of Several Mean Values: An Alternative approach" (Welch, 1951). I don't understand this expression: $E\left(\exp\left[ \sum_t ( w_t - \omega_t ) D_t\right]\right),$

where $D_t^r = \left(\frac{\partial^r}{\partial z_t^r}\right)_{z=\omega} $ and $E$ is expectation over $w_t$

Why is $D_t$ written in the last equation?

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    For more explanation, you can read this journal: http://www.google.co.id/url?sa=t&rct=j&q=On+the+Comparison+of+Several+Mean+Values%3A+An+Alternative+approach&source=web&cd=2&cad=rja&ved=0CDkQFjAB&url=http%3A%2F%2Fwww.soph.uab.edu%2FStatgenetics%2FPeople%2FMBeasley%2FCourses%2FWelch1951.pdf&ei=14m9UOrBLY6Qrge8hYDgBg&usg=AFQjCNE9v2uBUWrJl5dtliD-qJ_mpuT81A2012-12-04

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