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Statistical Uses of the Spatial Median
Abstract
SUMMARY: The spatial median, called the mediancentre in an earlier paper by J. C. Gower, is defined as the bivariate location measure to minimize the sum of absolute distances to observations. its asymptotic efficiency relative to the sample mean vector with normal data is shown to exceed the usual univariate 2/π = 0.637. its estimating equations have an angular aspect and are used to develop “angle tests”, which are analogues of sign tests in one dimension.
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Citations
Cited by
Distance‐Based Tests for Homogeneity of Multivariate Dispersions
Anderson, M. J. (2006) · Biometrics · doi:10.1111/j.1541-0420.2005.00440.x · Cited by 3,304
A Survey of Multidimensional Medians
Small, C. G. (1990) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1403809 · Cited by 393
Parameterization-free projection for geometry reconstruction
Lipman, Y., Cohen-Or, D., Levin, D., & Tal-Ezer, H. (2007) · ACM Transactions on Graphics · doi:10.1145/1276377.1276405 · Cited by 359
Robust statistics in data analysis — A review
Daszykowski, M., Kaczmarek, K., Vander Heyden, Y., & Walczak, B. (2007) · Chemometrics and Intelligent Laboratory Systems · doi:10.1016/j.chemolab.2006.06.016 · Cited by 331
Metadata
- Authors
- Brown, B. M.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1983-09-01
- Volume
- 45
- Issue
- 1
- Pages
- 25-30
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2152304600
- Cited by
- 210
- References
- 0
- FWCI
- 1.46
- Type
- journal article
- Language
- en
- Open access
- closed
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