Skewness, kurtosis and Newton's inequality

@article{Sharma2013SkewnessKA,
  title={Skewness, kurtosis and Newton's inequality},
  author={R. Sharma and R. Bhandari},
  journal={arXiv: Statistics Theory},
  year={2013}
}
We show that an inequality related to Newton's inequality provides one more relation between skewness and kurtosis. This also gives simple and alternative proofs of the bounds for skewness and kurtosis. 
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References

SHOWING 1-8 OF 8 REFERENCES
Inequalities related to the Cauchy-Schwarz inequality
We obtain an inequality complementary to the Cauchy-Schwarz inequality in Hilbert space. The inequalities involving first three powers of a self-adjoint operator are derived. The inequalities includeExpand
Algebraic bounds on standardized sample moments
Best possible bounds are given for standardized sample (or finite population) moments and absolute moments of arbitrary order, generalizing those given by Cramer (1945) and Kirby (1974) on sampleExpand
Some bounds for integrals with refinements of the Grüss inequality
Some integral bounds are obtained which provide refinements and extensions of the Grüss type inequalities. We also get an alternative formulation of the Grüss inequality.
Speaking Stata: The Limits of Sample Skewness and Kurtosis
Sample skewness and kurtosis are limited by functions of sample size. The limits, or approximations to them, have repeatedly been rediscovered over the last several decades, but nevertheless seem toExpand
Mathematical contributions to the theory of evolution.—X. Supplement to a memoir on skew variation
  • K. Pearson
  • Mathematics
  • Proceedings of the Royal Society of London
  • 1901
In the second memoir of this series a system of curves suitable for describing skew distributions of frequency was deduced from the solutions of the differential equation 1/y dy/dx = b0 + b1x/a0 +Expand
How Deviant Can You Be
Abstract For a finite universe of N items, it is proved no one can lie more than standard deviations away from the mean. This is an improvement over the result given by Tchebycheff's inequality: andExpand
Inequalities related to the CauchySchwarz inequality, Sankhya
  • 2012
A Note on Skewness and Kurtosis