Tests of fit for the logistic distribution based on the empirical distribution function

  • Stephens M
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Abstract

Goodness-of-fit tests are given for the logistic distribution, based
on statistics calculated from the empirical distribution function.
Emphasis is on the statistics W2, U2 and A2, for which asymptotic
percentage points are given, for each of the three cases where one
or both of the parameters of the distribution must be estimated from
the data. Slight modifications of the calculated statistics are given
to enable the points to be used with small samples. Monte Carlo results
are included also for statistics D+, D-, D and V.

Author-supplied keywords

  • Cramér-von Mises statistic
  • Empirical distribution function
  • Goodness-of-fit
  • Kolmogorov-Smirnov statistic
  • Logistic distribution

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Authors

  • M. A. Stephens

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