Resumen de Note on the Cramer-von Mises test with estimated parameters

Gennadi Martynov

• The asymptotic distribution of the parametric Cramér-von Mises statistic depends on an unknown parameter. In 1955 it was stated (see [4]) that this dependence is absent for the distribution family with the location and scale parameters. We present here the second class of the parametric distribution families with such a property.

  This is the family with the power and scale parameters.