Geodesic
Independence of Quasi-Polynomial Statistics and Analytical Properties of Distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 3, pp. 265-284

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The analytical properties of distributions of a random vector with independent components admitting two suitable independent statistics are studied. The results are used to characterize the normal distribution. 
@article{TVP_1958_3_3_a1,
     author = {A. A. Zinger},
     title = {Independence of {Quasi-Polynomial} {Statistics} and {Analytical} {Properties} of {Distributions}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {265--284},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1958},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a1/}
}
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A. A. Zinger. Independence of Quasi-Polynomial Statistics and Analytical Properties of Distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 3, pp. 265-284. http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a1/