A review of testing procedures based on the empirical characteristic function

Discussion paper

  • Simos G. Meintanis National and Kapodistrian University of Athens, Department of Economics, 1 Sophocleous Str., and Aristidou Str., 105 59 Athens, Greece; Unit for Business Mathematics and Informatics, North-West University, Potchefstroom, South Africa
Keywords: Dependent data, Goodness-of-fit, Regression data, Two-sample problem


The empirical characteristic function (ECF) has been in use in statistical inference for nearly fifty years now. We provide an overview of testing procedures based on the ECF within certain statistical models. Specifically our emphasis is on recent developments of ECF procedures for goodness-of-fit testing for parametric families of distributions with structured data, and for the two-sample and the k-sample problem.


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