TY - JOUR
T1 - Allometric extension model for conditional distributions
AU - Kurata, Hiroshi
AU - Hoshino, Takahiro
AU - Fujikoshi, Yasunori
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/10
Y1 - 2008/10
N2 - When two groups are present, they are said to form an allometric model, if one group is the extension of the other group along the main axis of variation. The model is widely used in the context of principal component analysis, especially for the description of growth processes of creatures. In this paper, the notion of allometric extension model is applied to conditional distributions. More specifically, we derive a sufficient condition, for which the two conditional distributions given the sign of the first principal component form an allometric extension model.
AB - When two groups are present, they are said to form an allometric model, if one group is the extension of the other group along the main axis of variation. The model is widely used in the context of principal component analysis, especially for the description of growth processes of creatures. In this paper, the notion of allometric extension model is applied to conditional distributions. More specifically, we derive a sufficient condition, for which the two conditional distributions given the sign of the first principal component form an allometric extension model.
KW - 62E17
KW - 62H25
KW - Allometric extension
KW - Conditional distribution
KW - Principal component analysis
KW - Scale mixture of normal distributions
UR - http://www.scopus.com/inward/record.url?scp=52749090268&partnerID=8YFLogxK
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U2 - 10.1016/j.jmva.2008.02.020
DO - 10.1016/j.jmva.2008.02.020
M3 - Article
AN - SCOPUS:52749090268
VL - 99
SP - 1985
EP - 1998
JO - Journal of Multivariate Analysis
JF - Journal of Multivariate Analysis
SN - 0047-259X
IS - 9
ER -