Tippett’s formulas and other results on sample range and extremes

  • K. V. Mardia
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Keywords

Probability Density Function Alternative Proof Sample Range Imum Observation Advance Theory 
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References

  1. [1]
    H. Cramér,Mathematical Methods of Statistics, Princeton University Press, 1946.Google Scholar
  2. [2]
    E. G. Gumbel,Statistics of Extremes, Columbia University Press, New York, 1958.Google Scholar
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    M. G. Kendall and A. Stuart,The Advanced Theory of Statistics, Vol. 1, Charles Griffin and Co. Ltd., London, 1958.MATHGoogle Scholar
  4. [4]
    A. T. Mackay and E. S. Pearson, “A note on the distribution of range in sample ofn,”Biometrika, 25 (1933), 415–420.Google Scholar
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    E. S. Pearson and H. O. Hartley,Biometrika Tables for Statisticians, Part 1, Cambridge University Press, London, 1958.MATHGoogle Scholar
  6. [6]
    H. Ruben, “On the moments of range and product of extreme order statistics in normal samples,”Biometrika, 43 (1956), 458–460.MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    L. H. Tippett, “On the extreme individuals and the range of the samples taken from a normal population, ”Biometrika, 17 (1925), 364–387.CrossRefMATHGoogle Scholar

Copyright information

© Institute of Statistical Mathematics 1965

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  • K. V. Mardia

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