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Some inequalities for moments and coefficients of variation for a large class of probability functions

Published online by Cambridge University Press:  14 July 2016

Burt V. Bronk
Burt V. Bronk*
Affiliation:
Clemson University
*
∗ Postal address: Department of Physics and Astronomy, College of Sciences, Clemson University, Clemson, SC 29631, U.S.A. Research partially supported by NSF grant HES 75–16576, and Macdonald's, Clemson.
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Abstract

Some inequalities for moments and coefficients of variation of probability densities over the positive real line are obtained by means of simple geometrical relationships. As an illustrative application rigorous bounds are obtained for the ratio of weight average to number average molecular weight for a large class of distributions of macromolecules, giving a more precise characterization of this empirical measure of heterogeneity.

Keywords

RATIO WEIGHT/NUMBER AVERAGE MOLECULAR WEIGHT
Type
Short Communications
Information
Journal of Applied Probability , Volume 16 , Issue 3 , September 1979 , pp. 665 - 670
Copyright
Copyright © Applied Probability Trust 1979 

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References

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