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

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DOI

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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     author = {McGillivray, W.R. and Kaller, C.L.},
     title = {A {Characterization} of {Deviation} from {Normality} {Under} {Certain} {Moment} {Assumptions}},
     journal = {Canadian mathematical bulletin},
     pages = {509--514},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-061-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-061-5/}
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