✦ LIBER ✦
Median Balls: An Extension of the Interquantile Intervals to Multivariate Distributions
✍ Scribed by Jean Averous; Michel Meste
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 377 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0047-259X
No coin nor oath required. For personal study only.
✦ Synopsis
For a probability distribution on a Banach space, we introduce a family of central balls, indexed by their radius, using a proximity criterion close to those defining the spatial median. It is shown that these balls possess robustness and equivariance properties similar to those of the spatial median. They provide a multivariate generalization of the real interquantile intervals and can be interpreted as trimmed regions.