On Quasi-Means

Giovanni Parmigiani, Pietro Muliere
Universita di Pavia, Duke University

Nov 30 1990

We generalize the notion of mean value by considering fucntions of the form:

We term these functions quasi-means and we propose a characterization based on two associative operations -- corresponding respectively to combination of individual coordinats and combinations of aggregate values. We then show that the only homogenous quasi-means are quasi-linear, and discuss a further extension.


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