“…Although quaternion field of algebra has many applications in quantum physics, geostatics, the figure and pattern recognition, molecular modeling and the space telemetry (see Liu [17], Wang [21] and Karney [14]), its statistical applications are not considered well yet. It also should be noticed that the statistical theory of quaternions is well proposed (see Anderson [1], Kabe [15], Rautenbach and Roux [20], Dimitriu and Koev [8], Diaz-Garcia and Jaimez [7] and more recently Loots et al [18]). …”