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math.ST2023
Semiparametric Statistics and the Spread Inequality
Chris A. J. Klaassen
Classical mathematical statistics deals with models that are parametrized by a Euclidean, i.e. finite dimensional, parameter. Quite often such models have been and still are chosen…
math.ST2023
Inference via the Skewness-Kurtosis Set
Chris A. J. Klaassen, Bert van Es
Kurtosis minus squared skewness is bounded from below by 1, but for unimodal distributions this parameter is bounded by 189/125. In some applications it is natural to compare distr…