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1 results

  • Characterization of certain populations by independence of order statistics

  • János Galambos
  • Journal:
    Journal of Applied Probability / Volume 9 / Issue 1 / March 1972
    Published online by Cambridge University Press:
    14 July 2016, pp. 224-230
    Print publication:
    March 1972

  • A method, making use of characteristic functions, is presented to prove theorems on characterization of distributions by independence of order statistics. Since exact independence in practice is rarely achieved, much attention is being given in the literature to theorems on determining the distributions for which certain statistics are ‘almost’ independent. The technique of this new line of investigation is strongly dependent on the fact that for the case of exact independence there is a solution in terms of characteristic functions. The present work was guided by this fact. In addition to the new method, Theorem 2 appears to be new.