The fundamental problem with the classical coefficient of kurtosis Beta_2 is that it is not clear what it exactly measures. We here investigate whether Beta_2 has a simple interpretation according to Zenga's kurtosis diagram. Our answer is negative, even in the symmetric case. We therefore suggest an alternative standardization of the fourth moment which is easily interpreted as a kurtosis parameter for general distributions

Fiori, A. (2007). Kurtosis measures: Tradition, contradictions, alternatives. STATISTICA & APPLICAZIONI, 5(2), 185-203.

Kurtosis measures: Tradition, contradictions, alternatives

FIORI, ANNA MARIA
2007

Abstract

The fundamental problem with the classical coefficient of kurtosis Beta_2 is that it is not clear what it exactly measures. We here investigate whether Beta_2 has a simple interpretation according to Zenga's kurtosis diagram. Our answer is negative, even in the symmetric case. We therefore suggest an alternative standardization of the fourth moment which is easily interpreted as a kurtosis parameter for general distributions
Articolo in rivista - Articolo scientifico
Kurtosis diagram, Pigou-Dalton principle, Gini index, partial ordering, standard fourth moment
English
2007
5
2
185
203
none
Fiori, A. (2007). Kurtosis measures: Tradition, contradictions, alternatives. STATISTICA & APPLICAZIONI, 5(2), 185-203.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/2140
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