Indice de redondance basé sur les rangs et inférence non paramétrique
Revue de Statistique Appliquée, Tome 42 (1994) no. 2, pp. 79-98.
@article{RSA_1994__42_2_79_0,
     author = {Cl\'eroux, R. and Lazraq, A. and Lepage, Y.},
     title = {Indice de redondance bas\'e sur les rangs et inf\'erence non param\'etrique},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {79--98},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {42},
     number = {2},
     year = {1994},
     mrnumber = {1282257},
     zbl = {0972.62512},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1994__42_2_79_0/}
}
TY  - JOUR
AU  - Cléroux, R.
AU  - Lazraq, A.
AU  - Lepage, Y.
TI  - Indice de redondance basé sur les rangs et inférence non paramétrique
JO  - Revue de Statistique Appliquée
PY  - 1994
SP  - 79
EP  - 98
VL  - 42
IS  - 2
PB  - Société de Statistique de France
UR  - http://www.numdam.org/item/RSA_1994__42_2_79_0/
LA  - fr
ID  - RSA_1994__42_2_79_0
ER  - 
%0 Journal Article
%A Cléroux, R.
%A Lazraq, A.
%A Lepage, Y.
%T Indice de redondance basé sur les rangs et inférence non paramétrique
%J Revue de Statistique Appliquée
%D 1994
%P 79-98
%V 42
%N 2
%I Société de Statistique de France
%U http://www.numdam.org/item/RSA_1994__42_2_79_0/
%G fr
%F RSA_1994__42_2_79_0
Cléroux, R.; Lazraq, A.; Lepage, Y. Indice de redondance basé sur les rangs et inférence non paramétrique. Revue de Statistique Appliquée, Tome 42 (1994) no. 2, pp. 79-98. http://www.numdam.org/item/RSA_1994__42_2_79_0/

Billingsley P. (1968). Convergence of probability measure. John Wiley and Sons, New York. | MR | Zbl

Bmdp Statistical Software, W.J. Dixon, Chief Editor (1981). University of California Press, Berkeley. | Zbl

Cléroux R., Lazraq A., Lepage Y. (1993). Vector correlation based on ranks and a nonparametric test of independence between vectors. Rapport de recherche, département de mathématiques et de statistique, Université de Montréal.

Conover W.J., Iman R.L. (1980). The rank transformation as a method of discrimination with some examples. Comm. in Statist., A9 (5), 465-487. | Zbl

Conover W.J., Iman R.L. (1981). Rank transformation as a bridge between parametric and non parametric statistics. The American Statistician, 35, 124- 133. | Zbl

Coxhead P. (1974). Mesuring the relationships between two sets of variables. Brit. Jour. Math. Stat. Psycho., 27, 205- 212. | MR | Zbl

Cramer E.M. (1974). A generalization of vector correlation and its relation to canonical correlation. Mult. Behav. Res., 9, 347- 352.

Cramer E.M., Nicewander W.A. (1979). Some symmetric invariant measures of multivariate association. Psychometrika, 44, 43-54. | MR | Zbl

Escoufier Y. (1973). Le traitement des variables vectorielles. Biometrics, 29, 751-760. | MR

Gleason T.C. (1976). On Redundancy in Canonical Analysis. Psychological Bulletin, 83, 1004-1006.

Hoeffding W. (1948). A class of statistics with asymptotically normal variables. Ann. Math. Statist., 19, 293-325. | MR | Zbl

Hotelling H. (1936). Relations between two sets of variables. Biometrika, 28, 321-377. | JFM | Zbl

Imhof P. (1961). Computing the loi of quadratic forms in normal variates. Biometrika, 48, 419-426. | MR | Zbl

Johnson N.L., Kotz S. (1970). Continuous univariate loi -2. Houghton Mifflin, Boston.

Koerts J., Abrahamse A.P.J. (1969). On the theory and application of the general linear model. Rotterdam University Press, Rotterdam. | MR | Zbl

Kshirsagar A.M. (1969). Correlation between two vector variables. JRSS, B, 31, 477-485. | Zbl

Lazraq A., Cléroux R. (1988). Un algorithme pas à pas de sélection de variables en régression linéaire multivariée. Stat. Anal. Don., 13, 15- 18. | Numdam | MR

Lazraq A., Cléroux R., Kiers H.A.L. (1992). Mesures de liaison vectorielle et généralisation de l'analyse canonique. Rev. Statistique Appliquée, XXXX(1), 23-35. | Numdam | MR | Zbl

Lazraq A., Cléroux R. (1992). Tests d'homogénéité entre indices de redondance pour des lois elliptiques. Rev. Statistique Appliquée, XXXX(3), 19-33. | Numdam | MR | Zbl

Lingoes J.C., Schönemann P.H. (1974). Alternative Measures of Fit for the Schönemann-Carroll Matrix Fitting Algorithm. Psychometrika, 39, 423- 427. | MR | Zbl

Masuyama M. (1939). Correlation between tensor quantities. Proc.Physico-Math. Soc. Japan, Series 3, 31, 638- 647. | JFM | MR | Zbl

Masuyama M. (1941). Correlation between two sets of complex vectors. Proc. Physico-Math. Soc. Japan, Series 3, 33, 918-924. | MR | Zbl

Puri M.L., Sen P.K. (1971). Nonparametric methods in multivariate analysis. John Wiley and Sons, New York. | MR | Zbl

Puri M.L., Sen P.K., Gokhale D.V. (1970). On a class of rank order tests of independence. Sankhya, A, 271-298. | Zbl

Ramsay J.O., Ten Berge, J., Styan G. (1984). Matrix correlation. Psychometrika, 49, 403 -423. | MR | Zbl

Robert P., Escoufier Y. (1976). A unifying tool for linear multivariate statistical methods : the RV-coefficient. Appl. Statis., 25, 257- 265. | MR

Roseboom N.W. (1965). Linear correlation between sets of variables. Psychometrika, 30, 57-71. | MR | Zbl

Roy R., Cléroux R. (1993). On vector cross-correlation in time series and application. To appear in the International Statistical Review, Vol. 61, No. 3. | Zbl

Shaffer J.P., Gillo M.W. (1974). A multivariate extension of the correlation ratio. Educ. Psycho. Meas., 34, 521-524.

Stephens M. (1979). Vector correlation. Biometrika, 66, 41 -98. | MR | Zbl

Stewart D., Love W. (1968). A general canonical correlation index. Psycho. Bull., 70, 160-163.

Werner M., Tolls M.E., Hultin J.V., Mellecker J. (1970). Sex and Age Dependence of Serum Calcium, Inorganic Phosphorus, Total Protein and Albumin in a Large Ambulatory Population. Fifth International Congress on Automation, Advances in Automated Analysis, 2, 59-65.