Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 48, 2014 - Issue 2
87
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Statistical theory of shape under elliptical models via QR decomposition

&
Pages 456-472 | Received 04 May 2010, Accepted 15 Dec 2012, Published online: 03 Jun 2013
 

Abstract

The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact densities. An application in Biology is studied under two Kotz models, the best distribution (non-Gaussian) is selected by using a modified Bayesian information criterion (BIC)*.

AMS Subject Classification:

Acknowledgements

The authors thank the editor and the anonymous reviewers for their constructive comments and suggestions on an earlier version of this manuscript which led to this much improved version. This research work was supported by University of Medellin (Medellin, Colombia) and Universidad Autónoma Agraria Antonio Narro (México), joint Grant No. 469. Also, the first author was partially supported IDI-Spain, Grants No. FQM2006-2271 and MTM2008-05785 and the paper was written during J. A. Díaz-xGarcía's stay as a visiting professor at the Department of Statistics and O. R. of the University of Granada, Spain. F. Caro thanks the project No. 105657 of CONACYT, México.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 844.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.