BEYOND PRINCIPAL COMPONENT ANALYSIS - A TRILINEAR DECOMPOSITION MODEL AND LEAST-SQUARES ESTIMATION

被引:17
作者
PHAM, TD
MOCKS, J
机构
[1] UNIV GRENOBLE 1,F-38041 GRENOBLE,FRANCE
[2] BOEHRINGER MANNHEIM GMBH,DEPT BIOMETRIE FK-BR,W-6800 MANNHEIM 31,GERMANY
关键词
D O I
10.1007/BF02294505
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:203 / 215
页数:13
相关论文
共 11 条
[1]   ANALYSIS OF INDIVIDUAL DIFFERENCES IN MULTIDIMENSIONAL SCALING VIA AN N-WAY GENERALIZATION OF ECKART-YOUNG DECOMPOSITION [J].
CARROLL, JD ;
CHANG, JJ .
PSYCHOMETRIKA, 1970, 35 (03) :283-&
[2]  
Harshman R. A., 1970, MULTI MODEL FACTOR A, V16, P1
[3]  
HARSHMAN RA, 1984, RES METHODS MULTIMOD, P123
[4]   3-WAY ARRAYS - RANK AND UNIQUENESS OF TRILINEAR DECOMPOSITIONS, WITH APPLICATION TO ARITHMETIC COMPLEXITY AND STATISTICS [J].
KRUSKAL, JB .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1977, 18 (02) :95-138
[5]   MORE FACTORS THAN SUBJECTS, TESTS AND TREATMENTS - INDETERMINACY THEOREM FOR CANONICAL DECOMPOSITION AND INDIVIDUAL-DIFFERENCES SCALING [J].
KRUSKAL, JB .
PSYCHOMETRIKA, 1976, 41 (03) :281-293
[6]  
KRUSKAL JB, 1984, RES METHODS MULTIMOD, P36
[7]  
Loeve M., 1963, PROBABILITY THEORY
[8]   TOPOGRAPHIC COMPONENTS MODEL FOR EVENT-RELATED POTENTIALS AND SOME BIOPHYSICAL CONSIDERATIONS [J].
MOCKS, J .
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1988, 35 (06) :482-484
[9]  
MOCKS J, 1988, BIOL PSYCHOL, V26, P129
[10]  
RAO CR, 1973, LINEAR STATISTICAL I