One-sample problem: Inference for shape

Part of the Lecture Notes in Statistics book series (LNS, volume 199)


The one-sample multivariate shape problem is considered. The shape matrix is a scatter matrix rescaled or normalized in a certain way. The procedures here are based on multivariate spatial signs and spatial ranks. Tests and estimates based on the spatial sign covariance matrix and the spatial rank covariance matrices of different types are considered. The asymptotic efficiencies show a good performance of these methods, particularly for heavy-tailed distributions.


Scatter Matrix Alternative Sequence Elliptic Case Spatial Sign Shape Estimate 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Tampere School of Public HealthUniversity of TampereTampereFinland

Personalised recommendations