A Goodness-Of-Fit Test Based on the Empirical Characteristic Function When Parameters Must be Estimated
Ioannis A. Koutrouvelis, John Kellermeier
Abstract
Ioannis A. Koutrouvelis, John Kellermeier
Abstract
SUMMARY The goodness-of-fit test using the empirical characteristic function proposed by Koutrouvelis (1980) is extended to the case where parameters must be estimated. The proposed test statistic is shown to have an asymptotic chi-squared distribution with degrees of freedom reduced by the number of parameters estimated.
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SUMMARY The goodness-of-fit test using the empirical characteristic function proposed by Koutrouvelis (1980) is extended to the case where parameters must be estimated. The proposed test statistic is shown to have an asymptotic chi-squared distribution with degrees of freedom reduced by the number of parameters estimated.
Key concepts: Goodness of fit, Mathematics, Empirical distribution function, Statistics, Anderson–Darling test, Statistic, Test statistic, Kolmogorov–Smirnov test