TY - JOUR AU - Gupta, Arjun K. AU - Kabe, D. G. PY - 2000/01/01 Y2 - 2024/03/29 TI - Distribution of the canonical correlation coefficients for the elliptical error model JF - Statistica JA - Stat VL - 60 IS - 2 SE - Articles DO - 10.6092/issn.1973-2201/1136 UR - https://rivista-statistica.unibo.it/article/view/1136 SP - 287-295 AB - In this paper it is proved that the nonnull density of the canonical correlation coefficients under the normality assumption is identical with that for the elliptical error model (EEM), thus proving the nonnull robustness of the canonical correlation coefficient density. An application of testing that the multiple correlation coefficient is zero to a result of James (1977) is also given. Further, it is shown that the results hold for any Taylor series expandable EEM density. ER -