Characterization of the normal law by the property of stochastic independence of the sample mean and the first central moment for the sample
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions, Tome 29 (1972), pp. 51-56

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@article{ZNSL_1972_29_a8,
     author = {Yu. V. Borovskikh},
     title = {Characterization of the normal law by the property of stochastic independence of the sample mean and the first central moment for the sample},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {51--56},
     publisher = {mathdoc},
     volume = {29},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1972_29_a8/}
}
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Yu. V. Borovskikh. Characterization of the normal law by the property of stochastic independence of the sample mean and the first central moment for the sample. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions, Tome 29 (1972), pp. 51-56. http://geodesic.mathdoc.fr/item/ZNSL_1972_29_a8/