Axiomatics for the mean using Bemporad's condition
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| 024 | 7 | 0 | |a 10.1007/s00010-014-0305-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0305-3 | ||
| 245 | 0 | 0 | |a Axiomatics for the mean using Bemporad's condition |h [Elektronische Daten] |c [John Gray, Andrew Vogt] |
| 520 | 3 | |a Joining previous authors, we propose axiomatic properties that yield the mean as the unique measure of center of a data set. In addition to familiar properties such as symmetry, homogeneity, and translativity, we make use of a condensation principle, first considered by Bemporad, that ties together means for different sample sizes and identifies an important physical characteristic of the center of mass of a body. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Decomposability |2 nationallicence | |
| 690 | 7 | |a translativity |2 nationallicence | |
| 690 | 7 | |a median |2 nationallicence | |
| 690 | 7 | |a functional equations |2 nationallicence | |
| 700 | 1 | |a Gray |D John |u Dahlgren Division, Naval Surface Warfare Center Dahlgren, Sensor Technology Branch Q31, Frontage Road Suite 327, 18444, 22448-5161, Dahlgren, VA, USA |4 aut | |
| 700 | 1 | |a Vogt |D Andrew |u Department of Mathematics and Statistics, Georgetown University, 20057-1233, Washington, DC, USA |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer International Publishing |g 89/6(2015-12-01), 1415-1431 |x 0001-9054 |q 89:6<1415 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0305-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0305-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gray |D John |u Dahlgren Division, Naval Surface Warfare Center Dahlgren, Sensor Technology Branch Q31, Frontage Road Suite 327, 18444, 22448-5161, Dahlgren, VA, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Vogt |D Andrew |u Department of Mathematics and Statistics, Georgetown University, 20057-1233, Washington, DC, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer International Publishing |g 89/6(2015-12-01), 1415-1431 |x 0001-9054 |q 89:6<1415 |1 2015 |2 89 |o 10 | ||