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B. V. Gnedenko and A. N. Kolmogorov,Limit distributions for sums of independent random variables, translated from the Russian by K. L. Chung, Addison-Wesley (1954).
P. Lévy,Théorie de l’addition des variables aléatoire, Gautier-Villars (1937).
M. Loève,Prohability Theory, D. Van Nostrand (1955).
K. Takano, On some limit theorems of probability distributions.Ann. Inst. Stat. Math. Tokyo, Vol. VI (1954).
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Takano, K. Multidimensional central limit criterion in the case of bounded variances. Ann Inst Stat Math 7, 81–93 (1955). https://doi.org/10.1007/BF02951448
- Covariance Matrix
- Random Vector
- Convergence Criterion
- Bounded Variance
- Finite Variance