Bivariate extreme statistics, I

  • Masaaki Sibuya


Marginal Distribution Limit Distribution Dependence Function Bivariate Normal Distribution Conditional Distribution Function 


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  1. [1]
    Gumbel, E. J.,Statistics of Extremes, Columbia University Press, N. Y., 1958.zbMATHGoogle Scholar
  2. [2]
    Aczél, J., “Some general methods in the theory of one variable functional equation. New applications of functional equations,”Uspekhi Math. Nauk, 11 (1956), pp. 3–68 (in Russian).Google Scholar
  3. [3]
    Owen, D. B., “Tables for computing bivariate normal probabilities,”Ann. Math. Stat., 27 (1956), pp. 1075–1090.MathSciNetCrossRefGoogle Scholar
  4. [4]
    Konijn, H. S., “Positive and negative dependence of two random variables,”Sankhya 21 (1959), pp. 269–280.MathSciNetzbMATHGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1959

Authors and Affiliations

  • Masaaki Sibuya
    • 1
  1. 1.The Instute of Statistical MathematicsJapan

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