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

Author:

Bronk Burt V.

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Coefficient of Variation;Wiley StatsRef: Statistics Reference Online;2014-09-29

2. A Note on the Estimation of the Gini Index;Margin: The Journal of Applied Economic Research;2014-07-09

3. Is the coefficient of variation a valid measure for variability of stable isotope abundances in biological materials?;Rapid Communications in Mass Spectrometry;2014-01-07

4. A uniform approximation to the sampling distribution of the coefficient of variation;Statistics & Probability Letters;1995-08

5. Estimation of Time of Arrival for Rectangular Pulses;IEEE Transactions on Aerospace and Electronic Systems;1984-11

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