On central tendency and dispersion measures for intervals and hypercubes

Marie Chavent (1, 2) , Jérôme Saracco (2, 3)

1 IMB - Institut de Mathématiques de Bordeaux
2 CQFD - Quality control and dynamic reliability
3 GREThA - Groupe de Recherche en Economie Théorique et Appliquée

The uncertainty or the variability of the data may be treated by considering, rather than a single value for each data, the interval of values in which it may fall. This paper studies the derivation of basic description statistics for interval-valued datasets. We propose a geometrical approach in the determination of summary statistics (central tendency and dispersion measures) for interval-valued variables.

Mots clés: Clustering; Hausdorff Distance; Multidimensional Interval Data

Domaines: Calcul [stat.CO]; Autres [stat.ML]

Marie Chavent, Jérôme Saracco. On central tendency and dispersion measures for intervals and hypercubes. Communications in Statistics - Theory and Methods, 2008, 37 (9), pp.1471 - 1482. ⟨10.1080/03610920701678984⟩. ⟨hal-00273170⟩