Journal of Soviet Mathematics

, Volume 20, Issue 3, pp 2147-2164

First online:

Probability distributions of the Kolmogorov and omega-square statistics for continuous distributions with shift and scale parameters

  • K. O. Dzhaparidze
  • , M. S. Nikulin

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The paper is devoted to the application of the statistical Kolmogorov and omega-square criteria to verification of a complex hypothesis H0 according to which the independent, identically and continuously distributed random variables X1,...,Xn have the law G[(x−θ 1)/θ 2].