Geodesic
A Characterization of Deviation from Normality Under Certain Moment Assumptions
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 509-514

Voir la notice de l'article provenant de la source Cambridge University Press

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], 
McGillivray, W.R.; Kaller, C.L. A Characterization of Deviation from Normality Under Certain Moment Assumptions. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 509-514. doi: 10.4153/CMB-1966-061-5
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[1] 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] 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 Unpublished Master′s Thesis, Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan, (1965).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] 3. Smith, E.R., Zeros of the Hermitian Polynomials. The American Mathematical Monthly, 43 (1936), pages 354-358. Google Scholar

[4] 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

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