The Absolute Difference Law For Expectations

Liang Hong

The American Statistician, 2015, vol. 69, issue 1, 8-10

Abstract: We revisit the addition law for expectations and present a sibling law: the absolute law for expectations. We show that these two laws and their corresponding laws for probabilities can be reconciled under a single framework. As an application, we use the absolute law for expectations to calculate the mean absolute deviation. Finally, we remark on a hidden point in a related article previously published on these pages; this will help readers to avoid a potential pitfall.

Date: 2015
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DOI: 10.1080/00031305.2014.994712

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