Axiomatic Characterization of the Mean Function on Trees

A mean of a sequence Ï€ = (x1, x2, . . . , xk) of elements of a finite metric space (X, d) is an element x for which is minimum. The function Mean whose domain is the set of all finite sequences on X and is defined by Mean(Ï€) = { x | x is a mean of Ï€ } is called the mean function on X. In this paper the mean function on finite trees is characterized axiomatically.

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Year of publication:	2010-02-23
Authors:	McMorris, F.R. ; Mulder, H.M. ; Ortega, O.
Institutions:	Erasmus University Rotterdam, Econometric Institute
Subject:	location function \| mean function \| median function \| consensus function \| tree

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Extent:	application/pdf
Series:	Econometric Institute Report. - ISSN 1566-7294.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series RePEc:dgr:eureir Number EI 2010-07
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008584836