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K. Takano, Multidimensional central limit criterion in the case of bounded variances,the same Annals.
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Takano, K. Central convergence criterion in the multidimensional case. Ann Inst Stat Math 7, 95–102 (1955). https://doi.org/10.1007/BF02951449
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DOI: https://doi.org/10.1007/BF02951449