Central convergence criterion in the multidimensional case

  • Kinsaku Takano


Constant Vector Multidimensional Case Normal Convergence Bounded Neighborhood Independent Random Vector 


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  1. [1]
    B. V. Gnedenko and A. N. Kolmogorov,Limit distributions far sums of independent random variables, translated from the Russian by K. L. Chung, Addison-Wesley (1954).Google Scholar
  2. [2]
    M. Loève,Probability Theory, D. Van Nostrand (1955).Google Scholar
  3. [3]
    K. Takano, On some limit theorems of probability distributions,Ann. Iust. Stat. Math. Vol. VI (1954).Google Scholar
  4. [4]
    K. Takano, Multidimensional central limit criterion in the case of bounded variances,the same Annals. 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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