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A Characterization of Deviation from Normality Under Certain Moment Assumptions

Published online by Cambridge University Press:  20 November 2018

W.R. McGillivray  and
C.L. Kaller
W.R. McGillivray
Affiliation:
Regina, Saskatchewan
C.L. Kaller
Affiliation:
Regina, Saskatchewan
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If Fn is the distribution function of a distribution n with moments up to order n equal to those of the standard normal distribution, then from Kendall and Stuart [1, p.87],

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 4 , October 1966 , pp. 509 - 514
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Kendall, M.G. and Stuart, A., The Advanced Theory of Statistics: Volume 1, Distribution Theory. London, England, Charles Griffin and Company, Ltd. (1958).Google Scholar
2. McGillivray, W.R., Deviations from Normality under Certain Moment Assumptions. Unpublished Master′s Thesis, Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan, (1965).Google Scholar
3. Smith, E.R., Zeros of the Hermitian Polynomials. The American Mathematical Monthly, 43 (1936), pages 354-358.Google Scholar
4. Uspensky, J. V., On the Development of Arbitrary Functions of Hermite′s and Laguerre′s Polynomials. Annals of Mathematics, (2)28, (1927), pages 593-619.Google Scholar