SHAPE AVERAGES AND THEIR BIAS

Authors
MARDIA KV DRYDEN IL
Citation
Kv. Mardia et Il. Dryden, SHAPE AVERAGES AND THEIR BIAS, Advances in Applied Probability, 26(2), 1994, pp. 334-340
Citations number
19
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Advances in Applied Probability → ACNP
ISSN journal
00018678
Volume
26
Issue
2
Year of publication
1994
Pages
334 - 340
Database
ISI
SICI code
0001-8678(1994)26:2<334:SAATB>2.0.ZU;2-K
Abstract
The paper considers the bias of Bookstein's mean estimator for shape u nder the isotropic normal model. This work depends on certain distribu tional properties of shape variables. An alternative unbiased modified estimator is proposed and its performance is compared with various es timators, including Procrustes and the exact maximum likelihood estima tor, in a simulation study.