Asymptotic inferential problems connected with quaternion elliptical distribution

The paper extends the results of Khatri and Bhavsar to quaternion elliptical variates. Asymptotic confidence bounds on location parameters for the linear growth curve for the quaternion variates, asymptotic distributions of the canonical correlations for the two sets of quaternion variates and the asymptotic confidence bounds for the discriminatory values for the linear Fischer’s discriminator for the future quaternion observation z are developed in this paper.