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Bounds for skewness and improved moment inequalities for unimodal distributions

Published online by Cambridge University Press:  01 July 2016

Benjamin Lepson*
Affiliation:
University of Maryland and U.S. Naval Research Laboratory

Abstract

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Type
Fifth Conference on Stochastic Processes and their Applications
Copyright
Copyright © Applied Probability Trust 1976 

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References

[1] Hardy, G. H., Littlewood, J. E. and Pólya, G. (1934) Inequalities. Cambridge University Press.Google Scholar
[2] Hotelling, H. and Solomons, L. M. (1932) The limits of a measure of skewness, Ann. Math. Statist. 3, 141142.Google Scholar
[3] Kendall, M. G. and Stuart, A. (1969) The Advanced Theory of Statistics, Vol. 1. Griffin, London.Google Scholar
[4] Lepson, B. (1974) Bounds for K. Pearson's measure of skewness for unimodal lattice distributions. Bull. Inst. Math. Statist., p. 128.Google Scholar
[5] Majindar, K. N. (1962) Improved bounds on a measure of skewness. Ann. Math. Statist. 33, 11921194.Google Scholar