We give an explicit formula of a quarternion Gaussian integral in terms of a quaternionic determinant. Then, we obtain a simple form of a probability density function of multivariate quarternion Gaussian distributions. Moreover, as an application to a geometry, we obtain the Fisher metric of quarternion Gaussian distributions by using the potential function of them.
|ジャーナル||Journal of Physics: Conference Series|
|出版ステータス||Published - 2019 5 31|
|イベント||3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia|
継続期間: 2018 10 20 → …
ASJC Scopus subject areas
- Physics and Astronomy(all)