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Klein, Ingo
Year of Publication: 
Series/Report no.: 
Diskussionspapiere, Friedrich-Alexander-Universität Erlangen-Nürnberg, Lehrstuhl für Statistik und Ökonometrie 89/2010
Abstract (Translated): 
J.M. Keynes (1911) shows how distributions look like for which the arithmetic, the geometric and the harmonic mean are most probable values. We propose a general class of distributions for which the quasi-arithmetic means are ML-estimators such that these distributions can be transformed into an normal or a truncated normal distribution. As special cases we get for example the generalized logarithmic distributions introduced by Chen (1995).
quasi-arithmetic mean
exponential family
generalized logarithmic distribution
inverse transformed normal distribution
Document Type: 
Working Paper

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