Multidimensional central limit criterion in the case of bounded variances

  • Kinsaku Takano


Covariance Matrix Random Vector Convergence Criterion Bounded Variance Finite Variance 


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  1. [1]
    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).Google Scholar
  2. [2]
    P. Lévy,Théorie de l’addition des variables aléatoire, Gautier-Villars (1937).Google Scholar
  3. [3]
    M. Loève,Prohability Theory, D. Van Nostrand (1955).Google Scholar
  4. [4]
    K. Takano, On some limit theorems of probability distributions.Ann. Inst. Stat. Math. Tokyo, Vol. VI (1954).Google Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1955

Authors and Affiliations

  • Kinsaku Takano
    • 1
  1. 1.The Institute of Statistical MathematicsJapan

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