The paper proposes Tsallis-entropy goodness-of-fit tests for q-Gaussian data, but the test statistics are under-defined and the advertised iterative shape-parameter estimator is absent.
Entropy-based test for generalised gaussian distributions
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Non-Parametric Goodness-of-Fit Tests Using Tsallis Entropy Measures
The paper proposes Tsallis-entropy goodness-of-fit tests for q-Gaussian data, but the test statistics are under-defined and the advertised iterative shape-parameter estimator is absent.