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Beyond Principal Component Analysis: A Trilinear Decomposition Model and Least Squares Estimation

Published online by Cambridge University Press:  01 January 2025

Tuan Dinh Pham  and
Joachim Möcks
Tuan Dinh Pham*
Affiliation:
C. N. R. S. And University of Grenoble
Joachim Möcks
Affiliation:
Department Biometrie (FK-BR), Boehringer Mannheim GMBH
*
Requests for reprint should be sent to Tuan Dinh Pham, Laboratory of Modelling and Computation, C. N. R. S., B. P. 53x, 38041 Grenoble Cedex, FRANCE.
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Abstract

The paper derives sufficient conditions for the consistency and asymptotic normality of the least squares estimator of a trilinear decomposition model for multiway data analysis.

Keywords

consistencyasymptotic normalityfactor analysisprincipal component analysisleast squaresmultidimensional scaling
Type
Original Paper
Information
Psychometrika , Volume 57 , Issue 2 , June 1992 , pp. 203 - 215
Copyright
Copyright © 1992 The Psychometric Society

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