The Darth Vader Rule
Muldowney, Pat ; Ostaszewski, Krzysztof ; Wojdowski, Wojciech
Tatra Mountains Mathematical Publications, Tome 51 (2012), / Harvested from Mathematical Institute
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\emph{Using Henstock's generalized Riemann integral, we show that, for anyalmost surely non-negative random variable $X$ with probability densityfunction $f_{X}$ and survival function $s_{X}(x):=\int_{x}^{\infty}f_{X}(t)dt$, the expected value of $X$ is given by $\mathbf{E}%(X)=\int_{0}^{\infty }s_{X}(x)dx$.}

Publié le : 2012-01-01
DOI : https://doi.org/10.2478/tatra.v52i0.178 
@article{178,
     title = {The Darth Vader Rule},
     journal = {Tatra Mountains Mathematical Publications},
     volume = {51},
     year = {2012},
     doi = {10.2478/tatra.v52i0.178},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/178}
}

Muldowney, Pat; Ostaszewski, Krzysztof; Wojdowski, Wojciech. The Darth Vader Rule. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v52i0.178. http://gdmltest.u-ga.fr/item/178/