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Characterization of the normal law by the property of stochastic independence of the sample mean and the first central moment for the sample. (English. Russian original) Zbl 0358.62011
J. Sov. Math. 3, 755-760 (1975); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 29, 51-56 (1972).
MSC:
62E10 Characterization and structure theory of statistical distributions
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References:
[1] Yu. V. Linnik, Matem. Zametki,7, No. 4, 383?388 (1970).
[2] Yu. V. Linnik, Vest. Leningrad. Gos. Univ., Ser. Matem. Mekhan. Astron., No. 1, 35?48 (1956).
[3] A. A. Zinger, Teor. Veroyat. i Prim.,3, No. 3, 265?284 (1958).
[4] A. M. Kagan, Yu. V. Linnik, and C. Radhakrishna Rao, Characterization Problems of Mathematical Statistics [in Russian], Nauka, Moscow (1972). · Zbl 0271.62002
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