Simplical depth estimators and tests in examples from shape analysis

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F08%3A00061100" target="_blank" >RIV/00216224:14310/08:00061100 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Simplical depth estimators and tests in examples from shape analysis

Original language description

In this paper we present the maximum simplicial depth estimator and compare it to the ordinary least square estimator in examples from 2D and 3D shape analysis focusing on bivariate and multivariate allometrical problems from zoology and biological anthropology. We compare two types of estimators derived under different subsets of parametric space on the basis of the linear regression model, theta = (theta1, theta2)T in R2 and theta = (theta1, theta2, theta3)T in R3, where theta3 = 0. We also discuss monotonically decreasing linear regression models in special situations. In applications where outliers in x- or y-axis direction occur in the data and residuals from ordinary least-square linear regression model are not normally distributed, we recommendthe use of the maximum simplicial depth estimators.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

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Project

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Continuities

R - Projekt Ramcoveho programu EK

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Tatra Mountains Mathematical Publications

ISSN

1210-3195

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

1

Country of publishing house

SK - SLOVAKIA

Number of pages

10

Pages from-to

95-104

UT code for WoS article

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EID of the result in the Scopus database

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