Contrast between populations versus spread within populations
Document Type
Article
Publication Date
2-1-2017
Abstract
© 2016 Elsevier B.V. Certain notions of the p-contrast between two populations and the average p-spread within the populations are introduced, where 0⩽p⩽4. It is shown that the p-contrast is no less than the average p-spread for p⩽2—whereas, if the two populations means are the same, then the p-contrast is no greater than the average p-spread for p⩾2. The proof is based on an expression of the absolute moments in terms of the characteristic function. For p=1, extensions of this result to multivariate settings are provided.
Publication Title
Statistics and Probability Letters
Recommended Citation
Pinelis, I.
(2017).
Contrast between populations versus spread within populations.
Statistics and Probability Letters,
121, 99-100.
http://doi.org/10.1016/j.spl.2016.10.003
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/7122