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Five axioms for location functions on median graphs
McMorris, Fred R.; Mulder, Henry Martyn; Novick, Beth; … - 2014
Persistent link: https://www.econbiz.de/10010359774
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A simple axiomatization of the median procedure on median graphs
Mulder, Mulder, H.M.; Novick, Novick, B. - Faculteit der Economische Wetenschappen, Erasmus … - 2011
appealing axioms: anonymity, betweenness and consistency. We also extend a key result of the same paper, characterizing the …
Persistent link: https://www.econbiz.de/10010837743
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The t-median function on graphs
McMorris, F.R.; Mulder, H.M.; Powers, R.C. - Erasmus University Rotterdam, Econometric Institute - 2005
A median of a sequence ï° = x1, x2, … , xk of elements of a finite metric space (X, d ) is an element x for which  1 ≤ I ≤ k d(x, xi) is minimum. The function M with domain the set of all finite sequences on X and defined by M(ï°) = {x: x is a median of ï°} is...
Persistent link: https://www.econbiz.de/10005795596
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The t-median function on graphs
McMorris, F.R.; Mulder, Mulder, H.M.; Powers, Powers, R.C. - Faculteit der Economische Wetenschappen, Erasmus … - 2005
A median of a sequence pi = x1, x2, … , xk of elements of a finite metric space (X, d ) is an element x for which ∑ k, i=1 d(x, xi) is minimum. The function M with domain the set of all finite sequences on X and defined by M(pi) = {x: x is a median of pi} is called the median function on X,...
Persistent link: https://www.econbiz.de/10011204326
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Axiomatic Characterization of the Mean Function on Trees
McMorris, F.R.; Mulder, Mulder, H.M.; Ortega, Ortega, O. - Faculteit der Economische Wetenschappen, Erasmus … - 2010
A mean of a sequence π = (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(π) = { x | x is a mean of π } is called the mean function on X. In this...
Persistent link: https://www.econbiz.de/10010837892
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The Lp-function on trees
McMorris, F.R.; Mulder, Mulder, H.M.; Ortega, Ortega, O. - Faculteit der Economische Wetenschappen, Erasmus … - 2010
Persistent link: https://www.econbiz.de/10010731730
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An sxiomatization of the median procedure on the n-cube
Mulder, Mulder, H.M.; Novick, Novick, B. - Faculteit der Economische Wetenschappen, Erasmus … - 2010
intuitively pleasing axioms, certain specific location functions among all the arbitrary functions that address this problem. For … the median function, which minimizes the sum of the distances to the client locations, three simple and natural axioms … instance of arbitrary median graphs, the above three natural axioms still suffice. …
Persistent link: https://www.econbiz.de/10010732585
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Axiomatic Characterization of the Mean Function on Trees
McMorris, F.R.; Mulder, H.M.; Ortega, O. - Erasmus University Rotterdam, Econometric Institute - 2010
A mean of a sequence π = (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(π) = { x | x is a mean of π } is called the mean function on...
Persistent link: https://www.econbiz.de/10008584836
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The Lp-function on trees
McMorris, F.R.; Mulder, H.M.; Ortega, O. - Erasmus University Rotterdam, Econometric Institute - 2010
Persistent link: https://www.econbiz.de/10008672304
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An sxiomatization of the median procedure on the n-cube
Mulder, H.M.; Novick, B. - Erasmus University Rotterdam, Econometric Institute - 2010
intuitively pleasing axioms, certain specific location functions among all the arbitrary functions that address this problem. For … the median function, which minimizes the sum of the distances to the client locations, three simple and natural axioms … instance of arbitrary median graphs, the above three natural axioms still suffice. …
Persistent link: https://www.econbiz.de/10008484078