Professor Haruo Yanai and multivariate analysis

Yoshio Takane

Special Matrices (2016)

  • Volume: 4, Issue: 1, page 283-295
  • ISSN: 2300-7451

Abstract

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The late Professor Yanai has contributed to many fields ranging from aptitude diagnostics, epidemiology, and nursing to psychometrics and statistics. This paper reviews some of his accomplishments in multivariate analysis through his collaborative work with the present author, along with some untold episodes for the inception of key ideas underlying the work. The various topics covered include constrained principal component analysis, extensions of Khatri’s lemma, theWedderburn-Guttman theorem, ridge operators, generalized constrained canonical correlation analysis, and causal inference. A common thread running through all of them is projectors and singular value decomposition, which are the main subject matters of a recent monograph by Yanai, Takeuchi, and Takane [60].

How to cite

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Yoshio Takane. "Professor Haruo Yanai and multivariate analysis." Special Matrices 4.1 (2016): 283-295. <http://eudml.org/doc/285441>.

@article{YoshioTakane2016,
abstract = {The late Professor Yanai has contributed to many fields ranging from aptitude diagnostics, epidemiology, and nursing to psychometrics and statistics. This paper reviews some of his accomplishments in multivariate analysis through his collaborative work with the present author, along with some untold episodes for the inception of key ideas underlying the work. The various topics covered include constrained principal component analysis, extensions of Khatri’s lemma, theWedderburn-Guttman theorem, ridge operators, generalized constrained canonical correlation analysis, and causal inference. A common thread running through all of them is projectors and singular value decomposition, which are the main subject matters of a recent monograph by Yanai, Takeuchi, and Takane [60].},
author = {Yoshio Takane},
journal = {Special Matrices},
keywords = {Projectors; Singular value decomposition; Khatri’s lemma; The Wedderburn-Guttman theorem; Ridge operators; projectors; singular value decomposition; Khatri's lemma; the Wedderburn-Guttman theorem; ridge operators},
language = {eng},
number = {1},
pages = {283-295},
title = {Professor Haruo Yanai and multivariate analysis},
url = {http://eudml.org/doc/285441},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Yoshio Takane
TI - Professor Haruo Yanai and multivariate analysis
JO - Special Matrices
PY - 2016
VL - 4
IS - 1
SP - 283
EP - 295
AB - The late Professor Yanai has contributed to many fields ranging from aptitude diagnostics, epidemiology, and nursing to psychometrics and statistics. This paper reviews some of his accomplishments in multivariate analysis through his collaborative work with the present author, along with some untold episodes for the inception of key ideas underlying the work. The various topics covered include constrained principal component analysis, extensions of Khatri’s lemma, theWedderburn-Guttman theorem, ridge operators, generalized constrained canonical correlation analysis, and causal inference. A common thread running through all of them is projectors and singular value decomposition, which are the main subject matters of a recent monograph by Yanai, Takeuchi, and Takane [60].
LA - eng
KW - Projectors; Singular value decomposition; Khatri’s lemma; The Wedderburn-Guttman theorem; Ridge operators; projectors; singular value decomposition; Khatri's lemma; the Wedderburn-Guttman theorem; ridge operators
UR - http://eudml.org/doc/285441
ER -

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