Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques
Statistique et analyse des données, Tome 15 (1990) no. 3, pp. 21-46.
@article{SAD_1990__15_3_21_0,
     author = {Allaire, J\'er\^ome and Lepage, Yves},
     title = {Tests de l'absence de liaison entre plusieurs vecteurs al\'eatoires pour les distributions elliptiques},
     journal = {Statistique et analyse des donn\'ees},
     pages = {21--46},
     publisher = {Association pour la statistique et ses illustrations},
     volume = {15},
     number = {3},
     year = {1990},
     language = {fr},
     url = {http://www.numdam.org/item/SAD_1990__15_3_21_0/}
}
TY  - JOUR
AU  - Allaire, Jérôme
AU  - Lepage, Yves
TI  - Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques
JO  - Statistique et analyse des données
PY  - 1990
SP  - 21
EP  - 46
VL  - 15
IS  - 3
PB  - Association pour la statistique et ses illustrations
UR  - http://www.numdam.org/item/SAD_1990__15_3_21_0/
LA  - fr
ID  - SAD_1990__15_3_21_0
ER  - 
%0 Journal Article
%A Allaire, Jérôme
%A Lepage, Yves
%T Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques
%J Statistique et analyse des données
%D 1990
%P 21-46
%V 15
%N 3
%I Association pour la statistique et ses illustrations
%U http://www.numdam.org/item/SAD_1990__15_3_21_0/
%G fr
%F SAD_1990__15_3_21_0
Allaire, Jérôme; Lepage, Yves. Tests de l'absence de liaison entre plusieurs vecteurs aléatoires pour les distributions elliptiques. Statistique et analyse des données, Tome 15 (1990) no. 3, pp. 21-46. http://www.numdam.org/item/SAD_1990__15_3_21_0/

Anderson, T. W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd Edition, John Wiley, New York. | MR | Zbl

Belcham, P. and Hymans, R. (1984). IAAF/ATFS Track and Field Statistics Handbook for the 1984 Los Angeles Olympic Games. International Amateur Athletic Federation, London.

Billingsley, P. (1968). Convergence of Probability Measures, John Wiley, New York. | MR | Zbl

Box, G.E.P. (1949). A General Distribution Theory for a Class of Likelihood Criteria, Biometrika, 36, 317-346. | MR | Zbl

Cléroux, R. and Ducharme, G.R. (1989). Vector Correlation for Elliptical Distributions, Communications in Statistics - Theory and Methods, 18,1441-1454. | MR | Zbl

Cramer, E.M. and Nicewander, W.A. (1979). Some Symmetric, Invariant Measures of Multivariate Association, Psychometrika, 49,403-423. | MR | Zbl

Dawkins, B. (1989). Multivariate Analysis of National Track Records, The American Statistician, 43, 110-115.

Escoufier, Y. (1973). Le Traitement des Variables Vectorielles, Biometries 29,751-760. | MR

Graybill, F.A. (1983). Matrices with Applications in Statistics, Second Edition, Wadsworth, Belmont, California. | MR | Zbl

Hotelling, H. (1936). Relations Between Two Sets of Variables, Biometrika 28, 321-377. Imhof, P. ( 1961). Computing the Distribution of Quadratic Forms in Normal Variates, Biometrika, 48, 419-426. | JFM | MR | Zbl

Johnson, N.L. and Kotz, S. (1970). Continuous Univariate Distributions, volume 2, Hougton Mifflin, New York. | MR | Zbl

Koerts, J. and Abrahamse, A.P.J. (1969). On the Theory and Application of the General Linear Model, Rotterdam University Press, Rotterdam. | MR | Zbl

Lazraq, A. et Cléroux, R. (1988). Étude Comparative de Différentes Mesures de Liaison Entre Deux Vecteurs Aléatoires et Tests d'Indépendance, Statistique et Analyse des Données, 13, 15-18. | EuDML | Numdam | MR

Lazraq, A. and Cléroux, R. (1989). Tests of Homogeneity Between Coefficient of Multivariate Association in Elliptical Distributions, Thèse de Doctorat, Faculté des Études Supérieures, Université de Montréal.

Mathai, A.M. and Saxena, R.K. (1973). Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Lecture Note No 348, Springer-Verlag, New York. | MR | Zbl

Muirhead, Rj. (1982). Aspects of Multivariate Statistical Theory, John Wiley, New York. | MR | Zbl

Muirhead, Rj. and Waternaux, C.M. (1980). Asymptotic Distributions in Canonical Correlation Analysis and Other Multivariate Procedures for Non-Normal Populations, Biometrika, 67, 31-43. | MR | Zbl

Nagao, H. (1973). On Some Test Criteria for Covariance Matrix, Annals of Statistics, 1, 700-709. | MR | Zbl

Pillai, K.C.S. (1954). On Some Distribution Problems in Multivariate Analysis, Institute of Statistics, Mimeo. Series No. 88, University of North Caroline Chapel Hill.

Pillai, K.C.S. (1955). Some New Test Criteria in Multivariate Analysis, Annals of Mathematical Statistics, 26, 117-121. | MR | Zbl

Robert, P. and Escoufier, Y. (1976). A Unifying Tool for Linear Multivariate Statistical Methods: the RV-Coefficient, Applied Statistics, 25, 257-265. | MR

Serfling, Rj. (1980). Approximation Theorems of Mathematical Statistics, John Wiley, New York. | MR | Zbl

Stephens, M.A. (1974). EDF Statistics for Goodness of Fit and Some Comparisons, Journal of the American Statistical Association, 69,730-737.

Stewart, D. and Love, W. (1968). A General Canonical Correlation Index, Psychological Bulletin, 70, 160-163.