Maximum Likelihood Estimation for the Offset-Normal Shape Distributions Using EM

Kume, A. (2010) Maximum Likelihood Estimation for the Offset-Normal Shape Distributions Using EM. Journal of Computational and Graphical Statistics, 19 (3). pp. 702-723. ISSN 1061-8600. (Full text available)

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http://dx.doi.org/10.1198/jcgs.2010.09190

Abstract

The offset-normal shape distribution is defined as the induced shape distribution of a Gaussian distributed random configuration in the plane. Such distributions were introduced by Dryden and Mardia (1991) and represent an important parameterized family of shape distributions for shape analysis. This article reports a method for performing maximum likelihood estimation of parameters involved. The method consists of an EM algorithm with simple update rules and is shown to be easily applicable in many practical examples. We also show the necessary adjustments needed for using this algorithm for shape regression, missing landmark data, and mixtures of offset-normal shape distributions.

Item Type: Article
Uncontrolled keywords: EM algorithm, shape analysis, offset-normal shape distributions, mean shape
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Alfred Kume
Date Deposited: 29 Aug 2012 15:15
Last Modified: 31 Aug 2012 13:53
Resource URI: http://kar.kent.ac.uk/id/eprint/30335 (The current URI for this page, for reference purposes)
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