Statistical Uses of the Spatial Median
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1983 · Volume 45 · Issue 1
DOI: 10.1111/j.2517-6161.1983.tb01226.x
Abstract
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.
Keywords
angle tests, asymptotic efficiency, bivariate normal distribution, mediancentre, m-estimates, robust estimation, sample median, spatial data, spatial median
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